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Finding the Third Proportional to 584,404 and 1,257,580

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Solution

The third proportional to 584,404 and 1,257,580 is: 2,706,188.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,404 : 1,257,580 = 1,257,580 : x
  2. Step 2: Convert to fraction form
    584,404/1,257,580 = 1,257,580/x
  3. Step 3: Cross multiply
    584,404x = 1,257,580 × 1,257,580
  4. Step 4: Simplify right side
    584,404x = 1,581,507,456,400
  5. Step 5: Solve for x
    x = 1,581,507,456,400/584,404
  6. Step 6: Final answer
    x = 2,706,188.62

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