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Finding the Third Proportional to 764,564 and 1,214,432

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Solution

The third proportional to 764,564 and 1,214,432 is: 1,929,001.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,564 : 1,214,432 = 1,214,432 : x
  2. Step 2: Convert to fraction form
    764,564/1,214,432 = 1,214,432/x
  3. Step 3: Cross multiply
    764,564x = 1,214,432 × 1,214,432
  4. Step 4: Simplify right side
    764,564x = 1,474,845,082,624
  5. Step 5: Solve for x
    x = 1,474,845,082,624/764,564
  6. Step 6: Final answer
    x = 1,929,001.47

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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.