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Finding the Third Proportional to 923,750 and 1,985,020

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Solution

The third proportional to 923,750 and 1,985,020 is: 4,265,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,750 : 1,985,020 = 1,985,020 : x
  2. Step 2: Convert to fraction form
    923,750/1,985,020 = 1,985,020/x
  3. Step 3: Cross multiply
    923,750x = 1,985,020 × 1,985,020
  4. Step 4: Simplify right side
    923,750x = 3,940,304,400,400
  5. Step 5: Solve for x
    x = 3,940,304,400,400/923,750
  6. Step 6: Final answer
    x = 4,265,552.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.