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Finding the Third Proportional to 734,952 and 1,102,432

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Solution

The third proportional to 734,952 and 1,102,432 is: 1,653,654.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,952 : 1,102,432 = 1,102,432 : x
  2. Step 2: Convert to fraction form
    734,952/1,102,432 = 1,102,432/x
  3. Step 3: Cross multiply
    734,952x = 1,102,432 × 1,102,432
  4. Step 4: Simplify right side
    734,952x = 1,215,356,314,624
  5. Step 5: Solve for x
    x = 1,215,356,314,624/734,952
  6. Step 6: Final answer
    x = 1,653,654.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.