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Finding the Third Proportional to 530,399 and 1,145,524

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Solution

The third proportional to 530,399 and 1,145,524 is: 2,474,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,399 : 1,145,524 = 1,145,524 : x
  2. Step 2: Convert to fraction form
    530,399/1,145,524 = 1,145,524/x
  3. Step 3: Cross multiply
    530,399x = 1,145,524 × 1,145,524
  4. Step 4: Simplify right side
    530,399x = 1,312,225,234,576
  5. Step 5: Solve for x
    x = 1,312,225,234,576/530,399
  6. Step 6: Final answer
    x = 2,474,034.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.