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Finding the Third Proportional to 475,920 and 998,532

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Solution

The third proportional to 475,920 and 998,532 is: 2,095,028.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,920 : 998,532 = 998,532 : x
  2. Step 2: Convert to fraction form
    475,920/998,532 = 998,532/x
  3. Step 3: Cross multiply
    475,920x = 998,532 × 998,532
  4. Step 4: Simplify right side
    475,920x = 997,066,155,024
  5. Step 5: Solve for x
    x = 997,066,155,024/475,920
  6. Step 6: Final answer
    x = 2,095,028.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.