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Finding the Third Proportional to 662,976 and 982,034

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Solution

The third proportional to 662,976 and 982,034 is: 1,454,639.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,976 : 982,034 = 982,034 : x
  2. Step 2: Convert to fraction form
    662,976/982,034 = 982,034/x
  3. Step 3: Cross multiply
    662,976x = 982,034 × 982,034
  4. Step 4: Simplify right side
    662,976x = 964,390,777,156
  5. Step 5: Solve for x
    x = 964,390,777,156/662,976
  6. Step 6: Final answer
    x = 1,454,639.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.