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Finding the Third Proportional to 584,846 and 1,275,460

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Solution

The third proportional to 584,846 and 1,275,460 is: 2,781,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,846 : 1,275,460 = 1,275,460 : x
  2. Step 2: Convert to fraction form
    584,846/1,275,460 = 1,275,460/x
  3. Step 3: Cross multiply
    584,846x = 1,275,460 × 1,275,460
  4. Step 4: Simplify right side
    584,846x = 1,626,798,211,600
  5. Step 5: Solve for x
    x = 1,626,798,211,600/584,846
  6. Step 6: Final answer
    x = 2,781,583.89

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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.