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Finding the Third Proportional to 982,560 and 2,038,976

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Solution

The third proportional to 982,560 and 2,038,976 is: 4,231,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,560 : 2,038,976 = 2,038,976 : x
  2. Step 2: Convert to fraction form
    982,560/2,038,976 = 2,038,976/x
  3. Step 3: Cross multiply
    982,560x = 2,038,976 × 2,038,976
  4. Step 4: Simplify right side
    982,560x = 4,157,423,128,576
  5. Step 5: Solve for x
    x = 4,157,423,128,576/982,560
  6. Step 6: Final answer
    x = 4,231,215.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.