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Finding the Third Proportional to 983,961 and 1,517,970.38

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Solution

The third proportional to 983,961 and 1,517,970.38 is: 2,341,794.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,961 : 1,517,970.38 = 1,517,970.38 : x
  2. Step 2: Convert to fraction form
    983,961/1,517,970.38 = 1,517,970.38/x
  3. Step 3: Cross multiply
    983,961x = 1,517,970.38 × 1,517,970.38
  4. Step 4: Simplify right side
    983,961x = 2,304,234,059,377.64
  5. Step 5: Solve for x
    x = 2,304,234,059,377.64/983,961
  6. Step 6: Final answer
    x = 2,341,794.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.