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Finding the Third Proportional to 586,284 and 1,284,793

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Solution

The third proportional to 586,284 and 1,284,793 is: 2,815,517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,284 : 1,284,793 = 1,284,793 : x
  2. Step 2: Convert to fraction form
    586,284/1,284,793 = 1,284,793/x
  3. Step 3: Cross multiply
    586,284x = 1,284,793 × 1,284,793
  4. Step 4: Simplify right side
    586,284x = 1,650,693,052,849
  5. Step 5: Solve for x
    x = 1,650,693,052,849/586,284
  6. Step 6: Final answer
    x = 2,815,517.83

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Why These Related Problems?

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