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Finding the Third Proportional to 982,818 and 1,542,033

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Solution

The third proportional to 982,818 and 1,542,033 is: 2,419,436.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,818 : 1,542,033 = 1,542,033 : x
  2. Step 2: Convert to fraction form
    982,818/1,542,033 = 1,542,033/x
  3. Step 3: Cross multiply
    982,818x = 1,542,033 × 1,542,033
  4. Step 4: Simplify right side
    982,818x = 2,377,865,773,089
  5. Step 5: Solve for x
    x = 2,377,865,773,089/982,818
  6. Step 6: Final answer
    x = 2,419,436.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.