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Finding the Third Proportional to 488,560 and 1,071,584

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Solution

The third proportional to 488,560 and 1,071,584 is: 2,350,360.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,560 : 1,071,584 = 1,071,584 : x
  2. Step 2: Convert to fraction form
    488,560/1,071,584 = 1,071,584/x
  3. Step 3: Cross multiply
    488,560x = 1,071,584 × 1,071,584
  4. Step 4: Simplify right side
    488,560x = 1,148,292,269,056
  5. Step 5: Solve for x
    x = 1,148,292,269,056/488,560
  6. Step 6: Final answer
    x = 2,350,360.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.