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Finding the Third Proportional to 960,540 and 2,070,048

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Solution

The third proportional to 960,540 and 2,070,048 is: 4,461,135.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,540 : 2,070,048 = 2,070,048 : x
  2. Step 2: Convert to fraction form
    960,540/2,070,048 = 2,070,048/x
  3. Step 3: Cross multiply
    960,540x = 2,070,048 × 2,070,048
  4. Step 4: Simplify right side
    960,540x = 4,285,098,722,304
  5. Step 5: Solve for x
    x = 4,285,098,722,304/960,540
  6. Step 6: Final answer
    x = 4,461,135.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.