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Finding the Third Proportional to 584,935 and 1,275,637

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Solution

The third proportional to 584,935 and 1,275,637 is: 2,781,932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,935 : 1,275,637 = 1,275,637 : x
  2. Step 2: Convert to fraction form
    584,935/1,275,637 = 1,275,637/x
  3. Step 3: Cross multiply
    584,935x = 1,275,637 × 1,275,637
  4. Step 4: Simplify right side
    584,935x = 1,627,249,755,769
  5. Step 5: Solve for x
    x = 1,627,249,755,769/584,935
  6. Step 6: Final answer
    x = 2,781,932.62

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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.