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Finding the Third Proportional to 982,854 and 2,102,337

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Solution

The third proportional to 982,854 and 2,102,337 is: 4,496,925.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,854 : 2,102,337 = 2,102,337 : x
  2. Step 2: Convert to fraction form
    982,854/2,102,337 = 2,102,337/x
  3. Step 3: Cross multiply
    982,854x = 2,102,337 × 2,102,337
  4. Step 4: Simplify right side
    982,854x = 4,419,820,861,569
  5. Step 5: Solve for x
    x = 4,419,820,861,569/982,854
  6. Step 6: Final answer
    x = 4,496,925.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.