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Finding the Third Proportional to 712,744 and 1,065,624

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Solution

The third proportional to 712,744 and 1,065,624 is: 1,593,215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,744 : 1,065,624 = 1,065,624 : x
  2. Step 2: Convert to fraction form
    712,744/1,065,624 = 1,065,624/x
  3. Step 3: Cross multiply
    712,744x = 1,065,624 × 1,065,624
  4. Step 4: Simplify right side
    712,744x = 1,135,554,509,376
  5. Step 5: Solve for x
    x = 1,135,554,509,376/712,744
  6. Step 6: Final answer
    x = 1,593,215.11

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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.