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Finding the Third Proportional to 584,784 and 1,281,249

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Solution

The third proportional to 584,784 and 1,281,249 is: 2,807,188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,784 : 1,281,249 = 1,281,249 : x
  2. Step 2: Convert to fraction form
    584,784/1,281,249 = 1,281,249/x
  3. Step 3: Cross multiply
    584,784x = 1,281,249 × 1,281,249
  4. Step 4: Simplify right side
    584,784x = 1,641,599,000,001
  5. Step 5: Solve for x
    x = 1,641,599,000,001/584,784
  6. Step 6: Final answer
    x = 2,807,188.64

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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.