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Finding the Third Proportional to 1,893,234.38 and 4,129,138.13

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Solution

The third proportional to 1,893,234.38 and 4,129,138.13 is: 9,005,637.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893,234.38 : 4,129,138.13 = 4,129,138.13 : x
  2. Step 2: Convert to fraction form
    1,893,234.38/4,129,138.13 = 4,129,138.13/x
  3. Step 3: Cross multiply
    1,893,234.38x = 4,129,138.13 × 4,129,138.13
  4. Step 4: Simplify right side
    1,893,234.38x = 17,049,781,655,328.52
  5. Step 5: Solve for x
    x = 17,049,781,655,328.52/1,893,234.38
  6. Step 6: Final answer
    x = 9,005,637.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.