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Finding the Third Proportional to 584,723 and 1,259,680

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Solution

The third proportional to 584,723 and 1,259,680 is: 2,713,752.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,723 : 1,259,680 = 1,259,680 : x
  2. Step 2: Convert to fraction form
    584,723/1,259,680 = 1,259,680/x
  3. Step 3: Cross multiply
    584,723x = 1,259,680 × 1,259,680
  4. Step 4: Simplify right side
    584,723x = 1,586,793,702,400
  5. Step 5: Solve for x
    x = 1,586,793,702,400/584,723
  6. Step 6: Final answer
    x = 2,713,752.84

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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.