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Finding the Third Proportional to 982,248 and 1,386,438

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Solution

The third proportional to 982,248 and 1,386,438 is: 1,956,950.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,248 : 1,386,438 = 1,386,438 : x
  2. Step 2: Convert to fraction form
    982,248/1,386,438 = 1,386,438/x
  3. Step 3: Cross multiply
    982,248x = 1,386,438 × 1,386,438
  4. Step 4: Simplify right side
    982,248x = 1,922,210,327,844
  5. Step 5: Solve for x
    x = 1,922,210,327,844/982,248
  6. Step 6: Final answer
    x = 1,956,950.11

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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.