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Finding the Third Proportional to 838,129.78 and 1,752,143.91

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Solution

The third proportional to 838,129.78 and 1,752,143.91 is: 3,662,927.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,129.78 : 1,752,143.91 = 1,752,143.91 : x
  2. Step 2: Convert to fraction form
    838,129.78/1,752,143.91 = 1,752,143.91/x
  3. Step 3: Cross multiply
    838,129.78x = 1,752,143.91 × 1,752,143.91
  4. Step 4: Simplify right side
    838,129.78x = 3,070,008,268,209.01
  5. Step 5: Solve for x
    x = 3,070,008,268,209.01/838,129.78
  6. Step 6: Final answer
    x = 3,662,927.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.