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Finding the Third Proportional to 3,144,998 and 4,712,569

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Solution

The third proportional to 3,144,998 and 4,712,569 is: 7,061,469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144,998 : 4,712,569 = 4,712,569 : x
  2. Step 2: Convert to fraction form
    3,144,998/4,712,569 = 4,712,569/x
  3. Step 3: Cross multiply
    3,144,998x = 4,712,569 × 4,712,569
  4. Step 4: Simplify right side
    3,144,998x = 22,208,306,579,761
  5. Step 5: Solve for x
    x = 22,208,306,579,761/3,144,998
  6. Step 6: Final answer
    x = 7,061,469.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.