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Finding the Third Proportional to 869,001 and 1,817,472

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Solution

The third proportional to 869,001 and 1,817,472 is: 3,801,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,001 : 1,817,472 = 1,817,472 : x
  2. Step 2: Convert to fraction form
    869,001/1,817,472 = 1,817,472/x
  3. Step 3: Cross multiply
    869,001x = 1,817,472 × 1,817,472
  4. Step 4: Simplify right side
    869,001x = 3,303,204,470,784
  5. Step 5: Solve for x
    x = 3,303,204,470,784/869,001
  6. Step 6: Final answer
    x = 3,801,151.52

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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.