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Finding the Third Proportional to 868,930 and 1,817,309

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Solution

The third proportional to 868,930 and 1,817,309 is: 3,800,780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,930 : 1,817,309 = 1,817,309 : x
  2. Step 2: Convert to fraction form
    868,930/1,817,309 = 1,817,309/x
  3. Step 3: Cross multiply
    868,930x = 1,817,309 × 1,817,309
  4. Step 4: Simplify right side
    868,930x = 3,302,612,001,481
  5. Step 5: Solve for x
    x = 3,302,612,001,481/868,930
  6. Step 6: Final answer
    x = 3,800,780.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.