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Finding the Third Proportional to 982,250 and 1,386,441

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Solution

The third proportional to 982,250 and 1,386,441 is: 1,956,954.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,250 : 1,386,441 = 1,386,441 : x
  2. Step 2: Convert to fraction form
    982,250/1,386,441 = 1,386,441/x
  3. Step 3: Cross multiply
    982,250x = 1,386,441 × 1,386,441
  4. Step 4: Simplify right side
    982,250x = 1,922,218,646,481
  5. Step 5: Solve for x
    x = 1,922,218,646,481/982,250
  6. Step 6: Final answer
    x = 1,956,954.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.