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Finding the Third Proportional to 580,541,916 and 1,253,436,792

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Solution

The third proportional to 580,541,916 and 1,253,436,792 is: 2,706,271,068.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,541,916 : 1,253,436,792 = 1,253,436,792 : x
  2. Step 2: Convert to fraction form
    580,541,916/1,253,436,792 = 1,253,436,792/x
  3. Step 3: Cross multiply
    580,541,916x = 1,253,436,792 × 1,253,436,792
  4. Step 4: Simplify right side
    580,541,916x = 1,571,103,791,539,251,200
  5. Step 5: Solve for x
    x = 1,571,103,791,539,251,200/580,541,916
  6. Step 6: Final answer
    x = 2,706,271,068.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.