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Finding the Third Proportional to 903,268.97 and 1,320,978.38

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Solution

The third proportional to 903,268.97 and 1,320,978.38 is: 1,931,854.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,268.97 : 1,320,978.38 = 1,320,978.38 : x
  2. Step 2: Convert to fraction form
    903,268.97/1,320,978.38 = 1,320,978.38/x
  3. Step 3: Cross multiply
    903,268.97x = 1,320,978.38 × 1,320,978.38
  4. Step 4: Simplify right side
    903,268.97x = 1,744,983,867,217.64
  5. Step 5: Solve for x
    x = 1,744,983,867,217.64/903,268.97
  6. Step 6: Final answer
    x = 1,931,854.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.