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Finding the Third Proportional to 790,691,861 and 1,156,931,781

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Solution

The third proportional to 790,691,861 and 1,156,931,781 is: 1,692,810,071.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,691,861 : 1,156,931,781 = 1,156,931,781 : x
  2. Step 2: Convert to fraction form
    790,691,861/1,156,931,781 = 1,156,931,781/x
  3. Step 3: Cross multiply
    790,691,861x = 1,156,931,781 × 1,156,931,781
  4. Step 4: Simplify right side
    790,691,861x = 1,338,491,145,887,832,064
  5. Step 5: Solve for x
    x = 1,338,491,145,887,832,064/790,691,861
  6. Step 6: Final answer
    x = 1,692,810,071.67

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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.