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Finding the Third Proportional to 584,687 and 1,278,724

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Solution

The third proportional to 584,687 and 1,278,724 is: 2,796,598.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,687 : 1,278,724 = 1,278,724 : x
  2. Step 2: Convert to fraction form
    584,687/1,278,724 = 1,278,724/x
  3. Step 3: Cross multiply
    584,687x = 1,278,724 × 1,278,724
  4. Step 4: Simplify right side
    584,687x = 1,635,135,068,176
  5. Step 5: Solve for x
    x = 1,635,135,068,176/584,687
  6. Step 6: Final answer
    x = 2,796,598.98

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