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Finding the Third Proportional to 625,821.84 and 1,284,820.13

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Solution

The third proportional to 625,821.84 and 1,284,820.13 is: 2,637,751.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,821.84 : 1,284,820.13 = 1,284,820.13 : x
  2. Step 2: Convert to fraction form
    625,821.84/1,284,820.13 = 1,284,820.13/x
  3. Step 3: Cross multiply
    625,821.84x = 1,284,820.13 × 1,284,820.13
  4. Step 4: Simplify right side
    625,821.84x = 1,650,762,753,605.02
  5. Step 5: Solve for x
    x = 1,650,762,753,605.02/625,821.84
  6. Step 6: Final answer
    x = 2,637,751.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.