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Finding the Third Proportional to 903,426.75 and 1,321,150.50

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Solution

The third proportional to 903,426.75 and 1,321,150.50 is: 1,932,020.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,426.75 : 1,321,150.50 = 1,321,150.50 : x
  2. Step 2: Convert to fraction form
    903,426.75/1,321,150.50 = 1,321,150.50/x
  3. Step 3: Cross multiply
    903,426.75x = 1,321,150.50 × 1,321,150.50
  4. Step 4: Simplify right side
    903,426.75x = 1,745,438,643,650.25
  5. Step 5: Solve for x
    x = 1,745,438,643,650.25/903,426.75
  6. Step 6: Final answer
    x = 1,932,020.10

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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.