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Finding the Third Proportional to 566,069 and 1,231,789

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Solution

The third proportional to 566,069 and 1,231,789 is: 2,680,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,069 : 1,231,789 = 1,231,789 : x
  2. Step 2: Convert to fraction form
    566,069/1,231,789 = 1,231,789/x
  3. Step 3: Cross multiply
    566,069x = 1,231,789 × 1,231,789
  4. Step 4: Simplify right side
    566,069x = 1,517,304,140,521
  5. Step 5: Solve for x
    x = 1,517,304,140,521/566,069
  6. Step 6: Final answer
    x = 2,680,422.60

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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.