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Finding the Third Proportional to 566,871 and 1,244,322

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Solution

The third proportional to 566,871 and 1,244,322 is: 2,731,374.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,871 : 1,244,322 = 1,244,322 : x
  2. Step 2: Convert to fraction form
    566,871/1,244,322 = 1,244,322/x
  3. Step 3: Cross multiply
    566,871x = 1,244,322 × 1,244,322
  4. Step 4: Simplify right side
    566,871x = 1,548,337,239,684
  5. Step 5: Solve for x
    x = 1,548,337,239,684/566,871
  6. Step 6: Final answer
    x = 2,731,374.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.