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Finding the Third Proportional to 567,870 and 1,211,542.50

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Solution

The third proportional to 567,870 and 1,211,542.50 is: 2,584,808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,870 : 1,211,542.50 = 1,211,542.50 : x
  2. Step 2: Convert to fraction form
    567,870/1,211,542.50 = 1,211,542.50/x
  3. Step 3: Cross multiply
    567,870x = 1,211,542.50 × 1,211,542.50
  4. Step 4: Simplify right side
    567,870x = 1,467,835,229,306.25
  5. Step 5: Solve for x
    x = 1,467,835,229,306.25/567,870
  6. Step 6: Final answer
    x = 2,584,808.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.