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Finding the Third Proportional to 900,902 and 1,958,616

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Solution

The third proportional to 900,902 and 1,958,616 is: 4,258,150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,902 : 1,958,616 = 1,958,616 : x
  2. Step 2: Convert to fraction form
    900,902/1,958,616 = 1,958,616/x
  3. Step 3: Cross multiply
    900,902x = 1,958,616 × 1,958,616
  4. Step 4: Simplify right side
    900,902x = 3,836,176,635,456
  5. Step 5: Solve for x
    x = 3,836,176,635,456/900,902
  6. Step 6: Final answer
    x = 4,258,150.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.