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Finding the Third Proportional to 657,750 and 983,983

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Solution

The third proportional to 657,750 and 983,983 is: 1,472,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,750 : 983,983 = 983,983 : x
  2. Step 2: Convert to fraction form
    657,750/983,983 = 983,983/x
  3. Step 3: Cross multiply
    657,750x = 983,983 × 983,983
  4. Step 4: Simplify right side
    657,750x = 968,222,544,289
  5. Step 5: Solve for x
    x = 968,222,544,289/657,750
  6. Step 6: Final answer
    x = 1,472,022.11

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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.