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Finding the Third Proportional to 611,724 and 1,439,436

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Solution

The third proportional to 611,724 and 1,439,436 is: 3,387,109.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,724 : 1,439,436 = 1,439,436 : x
  2. Step 2: Convert to fraction form
    611,724/1,439,436 = 1,439,436/x
  3. Step 3: Cross multiply
    611,724x = 1,439,436 × 1,439,436
  4. Step 4: Simplify right side
    611,724x = 2,071,975,998,096
  5. Step 5: Solve for x
    x = 2,071,975,998,096/611,724
  6. Step 6: Final answer
    x = 3,387,109.22

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.