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Finding the Third Proportional to 783,132.50 and 1,658,923

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Solution

The third proportional to 783,132.50 and 1,658,923 is: 3,514,125.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,132.50 : 1,658,923 = 1,658,923 : x
  2. Step 2: Convert to fraction form
    783,132.50/1,658,923 = 1,658,923/x
  3. Step 3: Cross multiply
    783,132.50x = 1,658,923 × 1,658,923
  4. Step 4: Simplify right side
    783,132.50x = 2,752,025,519,929
  5. Step 5: Solve for x
    x = 2,752,025,519,929/783,132.50
  6. Step 6: Final answer
    x = 3,514,125.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.