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Finding the Third Proportional to 524,589 and 1,123,604

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Solution

The third proportional to 524,589 and 1,123,604 is: 2,406,619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,589 : 1,123,604 = 1,123,604 : x
  2. Step 2: Convert to fraction form
    524,589/1,123,604 = 1,123,604/x
  3. Step 3: Cross multiply
    524,589x = 1,123,604 × 1,123,604
  4. Step 4: Simplify right side
    524,589x = 1,262,485,948,816
  5. Step 5: Solve for x
    x = 1,262,485,948,816/524,589
  6. Step 6: Final answer
    x = 2,406,619.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.