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Finding the Third Proportional to 584,930 and 1,275,628

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Solution

The third proportional to 584,930 and 1,275,628 is: 2,781,917.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,930 : 1,275,628 = 1,275,628 : x
  2. Step 2: Convert to fraction form
    584,930/1,275,628 = 1,275,628/x
  3. Step 3: Cross multiply
    584,930x = 1,275,628 × 1,275,628
  4. Step 4: Simplify right side
    584,930x = 1,627,226,794,384
  5. Step 5: Solve for x
    x = 1,627,226,794,384/584,930
  6. Step 6: Final answer
    x = 2,781,917.14

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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.