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Finding the Third Proportional to 614,795,940 and 1,317,456,792

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Solution

The third proportional to 614,795,940 and 1,317,456,792 is: 2,823,200,814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,795,940 : 1,317,456,792 = 1,317,456,792 : x
  2. Step 2: Convert to fraction form
    614,795,940/1,317,456,792 = 1,317,456,792/x
  3. Step 3: Cross multiply
    614,795,940x = 1,317,456,792 × 1,317,456,792
  4. Step 4: Simplify right side
    614,795,940x = 1,735,692,398,786,931,200
  5. Step 5: Solve for x
    x = 1,735,692,398,786,931,200/614,795,940
  6. Step 6: Final answer
    x = 2,823,200,814.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.