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Finding the Third Proportional to 2,609,712 and 5,732,640

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Solution

The third proportional to 2,609,712 and 5,732,640 is: 12,592,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609,712 : 5,732,640 = 5,732,640 : x
  2. Step 2: Convert to fraction form
    2,609,712/5,732,640 = 5,732,640/x
  3. Step 3: Cross multiply
    2,609,712x = 5,732,640 × 5,732,640
  4. Step 4: Simplify right side
    2,609,712x = 32,863,161,369,600
  5. Step 5: Solve for x
    x = 32,863,161,369,600/2,609,712
  6. Step 6: Final answer
    x = 12,592,639.10

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.