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Finding the Third Proportional to 764,527 and 1,214,592

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Solution

The third proportional to 764,527 and 1,214,592 is: 1,929,603.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,527 : 1,214,592 = 1,214,592 : x
  2. Step 2: Convert to fraction form
    764,527/1,214,592 = 1,214,592/x
  3. Step 3: Cross multiply
    764,527x = 1,214,592 × 1,214,592
  4. Step 4: Simplify right side
    764,527x = 1,475,233,726,464
  5. Step 5: Solve for x
    x = 1,475,233,726,464/764,527
  6. Step 6: Final answer
    x = 1,929,603.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.