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Finding the Third Proportional to 569,304 and 1,226,580

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Solution

The third proportional to 569,304 and 1,226,580 is: 2,642,697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,304 : 1,226,580 = 1,226,580 : x
  2. Step 2: Convert to fraction form
    569,304/1,226,580 = 1,226,580/x
  3. Step 3: Cross multiply
    569,304x = 1,226,580 × 1,226,580
  4. Step 4: Simplify right side
    569,304x = 1,504,498,496,400
  5. Step 5: Solve for x
    x = 1,504,498,496,400/569,304
  6. Step 6: Final answer
    x = 2,642,697.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.