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Finding the Third Proportional to 591,363 and 926,604

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Solution

The third proportional to 591,363 and 926,604 is: 1,451,891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,363 : 926,604 = 926,604 : x
  2. Step 2: Convert to fraction form
    591,363/926,604 = 926,604/x
  3. Step 3: Cross multiply
    591,363x = 926,604 × 926,604
  4. Step 4: Simplify right side
    591,363x = 858,594,972,816
  5. Step 5: Solve for x
    x = 858,594,972,816/591,363
  6. Step 6: Final answer
    x = 1,451,891.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.