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Finding the Third Proportional to 982,244 and 1,386,432

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Solution

The third proportional to 982,244 and 1,386,432 is: 1,956,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,244 : 1,386,432 = 1,386,432 : x
  2. Step 2: Convert to fraction form
    982,244/1,386,432 = 1,386,432/x
  3. Step 3: Cross multiply
    982,244x = 1,386,432 × 1,386,432
  4. Step 4: Simplify right side
    982,244x = 1,922,193,690,624
  5. Step 5: Solve for x
    x = 1,922,193,690,624/982,244
  6. Step 6: Final answer
    x = 1,956,941.14

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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.