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Finding the Third Proportional to 566,952 and 869,949

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Solution

The third proportional to 566,952 and 869,949 is: 1,334,877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,952 : 869,949 = 869,949 : x
  2. Step 2: Convert to fraction form
    566,952/869,949 = 869,949/x
  3. Step 3: Cross multiply
    566,952x = 869,949 × 869,949
  4. Step 4: Simplify right side
    566,952x = 756,811,262,601
  5. Step 5: Solve for x
    x = 756,811,262,601/566,952
  6. Step 6: Final answer
    x = 1,334,877.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.