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Finding the Third Proportional to 649,792 and 1,425,130

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Solution

The third proportional to 649,792 and 1,425,130 is: 3,125,608.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,792 : 1,425,130 = 1,425,130 : x
  2. Step 2: Convert to fraction form
    649,792/1,425,130 = 1,425,130/x
  3. Step 3: Cross multiply
    649,792x = 1,425,130 × 1,425,130
  4. Step 4: Simplify right side
    649,792x = 2,030,995,516,900
  5. Step 5: Solve for x
    x = 2,030,995,516,900/649,792
  6. Step 6: Final answer
    x = 3,125,608.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.