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Finding the Third Proportional to 584,931 and 1,275,630

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Solution

The third proportional to 584,931 and 1,275,630 is: 2,781,921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,931 : 1,275,630 = 1,275,630 : x
  2. Step 2: Convert to fraction form
    584,931/1,275,630 = 1,275,630/x
  3. Step 3: Cross multiply
    584,931x = 1,275,630 × 1,275,630
  4. Step 4: Simplify right side
    584,931x = 1,627,231,896,900
  5. Step 5: Solve for x
    x = 1,627,231,896,900/584,931
  6. Step 6: Final answer
    x = 2,781,921.11

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Why These Related Problems?

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