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Finding the Third Proportional to 790,691,854.50 and 1,156,931,772.75

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Solution

The third proportional to 790,691,854.50 and 1,156,931,772.75 is: 1,692,810,061.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,691,854.50 : 1,156,931,772.75 = 1,156,931,772.75 : x
  2. Step 2: Convert to fraction form
    790,691,854.50/1,156,931,772.75 = 1,156,931,772.75/x
  3. Step 3: Cross multiply
    790,691,854.50x = 1,156,931,772.75 × 1,156,931,772.75
  4. Step 4: Simplify right side
    790,691,854.50x = 1,338,491,126,798,457,600
  5. Step 5: Solve for x
    x = 1,338,491,126,798,457,600/790,691,854.50
  6. Step 6: Final answer
    x = 1,692,810,061.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.