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Finding the Third Proportional to 1,144,361 and 1,681,509

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Solution

The third proportional to 1,144,361 and 1,681,509 is: 2,470,787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144,361 : 1,681,509 = 1,681,509 : x
  2. Step 2: Convert to fraction form
    1,144,361/1,681,509 = 1,681,509/x
  3. Step 3: Cross multiply
    1,144,361x = 1,681,509 × 1,681,509
  4. Step 4: Simplify right side
    1,144,361x = 2,827,472,517,081
  5. Step 5: Solve for x
    x = 2,827,472,517,081/1,144,361
  6. Step 6: Final answer
    x = 2,470,787.21

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.