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Finding the Third Proportional to 641,386 and 1,394,409

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Solution

The third proportional to 641,386 and 1,394,409 is: 3,031,523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,386 : 1,394,409 = 1,394,409 : x
  2. Step 2: Convert to fraction form
    641,386/1,394,409 = 1,394,409/x
  3. Step 3: Cross multiply
    641,386x = 1,394,409 × 1,394,409
  4. Step 4: Simplify right side
    641,386x = 1,944,376,459,281
  5. Step 5: Solve for x
    x = 1,944,376,459,281/641,386
  6. Step 6: Final answer
    x = 3,031,523.08

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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.