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Finding the Third Proportional to 1,298,214 and 2,815,398

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Solution

The third proportional to 1,298,214 and 2,815,398 is: 6,105,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,214 : 2,815,398 = 2,815,398 : x
  2. Step 2: Convert to fraction form
    1,298,214/2,815,398 = 2,815,398/x
  3. Step 3: Cross multiply
    1,298,214x = 2,815,398 × 2,815,398
  4. Step 4: Simplify right side
    1,298,214x = 7,926,465,898,404
  5. Step 5: Solve for x
    x = 7,926,465,898,404/1,298,214
  6. Step 6: Final answer
    x = 6,105,669.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.