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Finding the Third Proportional to 584,509 and 1,257,793

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Solution

The third proportional to 584,509 and 1,257,793 is: 2,706,619.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,509 : 1,257,793 = 1,257,793 : x
  2. Step 2: Convert to fraction form
    584,509/1,257,793 = 1,257,793/x
  3. Step 3: Cross multiply
    584,509x = 1,257,793 × 1,257,793
  4. Step 4: Simplify right side
    584,509x = 1,582,043,230,849
  5. Step 5: Solve for x
    x = 1,582,043,230,849/584,509
  6. Step 6: Final answer
    x = 2,706,619.11

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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.