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Finding the Third Proportional to 1,382,040 and 2,132,104.50

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Solution

The third proportional to 1,382,040 and 2,132,104.50 is: 3,289,246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,040 : 2,132,104.50 = 2,132,104.50 : x
  2. Step 2: Convert to fraction form
    1,382,040/2,132,104.50 = 2,132,104.50/x
  3. Step 3: Cross multiply
    1,382,040x = 2,132,104.50 × 2,132,104.50
  4. Step 4: Simplify right side
    1,382,040x = 4,545,869,598,920.25
  5. Step 5: Solve for x
    x = 4,545,869,598,920.25/1,382,040
  6. Step 6: Final answer
    x = 3,289,246.04

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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.