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Finding the Third Proportional to 790,691,852 and 1,156,931,769

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Solution

The third proportional to 790,691,852 and 1,156,931,769 is: 1,692,810,055.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,691,852 : 1,156,931,769 = 1,156,931,769 : x
  2. Step 2: Convert to fraction form
    790,691,852/1,156,931,769 = 1,156,931,769/x
  3. Step 3: Cross multiply
    790,691,852x = 1,156,931,769 × 1,156,931,769
  4. Step 4: Simplify right side
    790,691,852x = 1,338,491,118,121,469,440
  5. Step 5: Solve for x
    x = 1,338,491,118,121,469,440/790,691,852
  6. Step 6: Final answer
    x = 1,692,810,055.82

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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.