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Finding the Third Proportional to 982,422 and 1,477,278

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Solution

The third proportional to 982,422 and 1,477,278 is: 2,221,398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,422 : 1,477,278 = 1,477,278 : x
  2. Step 2: Convert to fraction form
    982,422/1,477,278 = 1,477,278/x
  3. Step 3: Cross multiply
    982,422x = 1,477,278 × 1,477,278
  4. Step 4: Simplify right side
    982,422x = 2,182,350,289,284
  5. Step 5: Solve for x
    x = 2,182,350,289,284/982,422
  6. Step 6: Final answer
    x = 2,221,398.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.