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Finding the Third Proportional to 749,331 and 1,124,020

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Solution

The third proportional to 749,331 and 1,124,020 is: 1,686,065.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,331 : 1,124,020 = 1,124,020 : x
  2. Step 2: Convert to fraction form
    749,331/1,124,020 = 1,124,020/x
  3. Step 3: Cross multiply
    749,331x = 1,124,020 × 1,124,020
  4. Step 4: Simplify right side
    749,331x = 1,263,420,960,400
  5. Step 5: Solve for x
    x = 1,263,420,960,400/749,331
  6. Step 6: Final answer
    x = 1,686,065.25

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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.