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Finding the Third Proportional to 1,839,160 and 2,732,496

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Solution

The third proportional to 1,839,160 and 2,732,496 is: 4,059,752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839,160 : 2,732,496 = 2,732,496 : x
  2. Step 2: Convert to fraction form
    1,839,160/2,732,496 = 2,732,496/x
  3. Step 3: Cross multiply
    1,839,160x = 2,732,496 × 2,732,496
  4. Step 4: Simplify right side
    1,839,160x = 7,466,534,390,016
  5. Step 5: Solve for x
    x = 7,466,534,390,016/1,839,160
  6. Step 6: Final answer
    x = 4,059,752.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.