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Finding the Third Proportional to 584,850 and 1,275,468

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Solution

The third proportional to 584,850 and 1,275,468 is: 2,781,599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,850 : 1,275,468 = 1,275,468 : x
  2. Step 2: Convert to fraction form
    584,850/1,275,468 = 1,275,468/x
  3. Step 3: Cross multiply
    584,850x = 1,275,468 × 1,275,468
  4. Step 4: Simplify right side
    584,850x = 1,626,818,619,024
  5. Step 5: Solve for x
    x = 1,626,818,619,024/584,850
  6. Step 6: Final answer
    x = 2,781,599.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.