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Finding the Third Proportional to 485,878 and 1,002,880

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Solution

The third proportional to 485,878 and 1,002,880 is: 2,070,001.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,878 : 1,002,880 = 1,002,880 : x
  2. Step 2: Convert to fraction form
    485,878/1,002,880 = 1,002,880/x
  3. Step 3: Cross multiply
    485,878x = 1,002,880 × 1,002,880
  4. Step 4: Simplify right side
    485,878x = 1,005,768,294,400
  5. Step 5: Solve for x
    x = 1,005,768,294,400/485,878
  6. Step 6: Final answer
    x = 2,070,001.72

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.