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Finding the Third Proportional to 675,182.25 and 1,045,122.75

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Solution

The third proportional to 675,182.25 and 1,045,122.75 is: 1,617,758.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,182.25 : 1,045,122.75 = 1,045,122.75 : x
  2. Step 2: Convert to fraction form
    675,182.25/1,045,122.75 = 1,045,122.75/x
  3. Step 3: Cross multiply
    675,182.25x = 1,045,122.75 × 1,045,122.75
  4. Step 4: Simplify right side
    675,182.25x = 1,092,281,562,567.56
  5. Step 5: Solve for x
    x = 1,092,281,562,567.56/675,182.25
  6. Step 6: Final answer
    x = 1,617,758.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.