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Finding the Third Proportional to 566,448 and 1,235,952

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Solution

The third proportional to 566,448 and 1,235,952 is: 2,696,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,448 : 1,235,952 = 1,235,952 : x
  2. Step 2: Convert to fraction form
    566,448/1,235,952 = 1,235,952/x
  3. Step 3: Cross multiply
    566,448x = 1,235,952 × 1,235,952
  4. Step 4: Simplify right side
    566,448x = 1,527,577,346,304
  5. Step 5: Solve for x
    x = 1,527,577,346,304/566,448
  6. Step 6: Final answer
    x = 2,696,765.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.