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Finding the Third Proportional to 584,685 and 1,278,720

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Solution

The third proportional to 584,685 and 1,278,720 is: 2,796,591.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,685 : 1,278,720 = 1,278,720 : x
  2. Step 2: Convert to fraction form
    584,685/1,278,720 = 1,278,720/x
  3. Step 3: Cross multiply
    584,685x = 1,278,720 × 1,278,720
  4. Step 4: Simplify right side
    584,685x = 1,635,124,838,400
  5. Step 5: Solve for x
    x = 1,635,124,838,400/584,685
  6. Step 6: Final answer
    x = 2,796,591.05

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Why These Related Problems?

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