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Finding the Third Proportional to 982,440 and 1,477,305

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Solution

The third proportional to 982,440 and 1,477,305 is: 2,221,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,440 : 1,477,305 = 1,477,305 : x
  2. Step 2: Convert to fraction form
    982,440/1,477,305 = 1,477,305/x
  3. Step 3: Cross multiply
    982,440x = 1,477,305 × 1,477,305
  4. Step 4: Simplify right side
    982,440x = 2,182,430,063,025
  5. Step 5: Solve for x
    x = 2,182,430,063,025/982,440
  6. Step 6: Final answer
    x = 2,221,438.52

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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.