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Finding the Third Proportional to 932,140.41 and 2,042,134.03

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Solution

The third proportional to 932,140.41 and 2,042,134.03 is: 4,473,909.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,140.41 : 2,042,134.03 = 2,042,134.03 : x
  2. Step 2: Convert to fraction form
    932,140.41/2,042,134.03 = 2,042,134.03/x
  3. Step 3: Cross multiply
    932,140.41x = 2,042,134.03 × 2,042,134.03
  4. Step 4: Simplify right side
    932,140.41x = 4,170,311,401,589.38
  5. Step 5: Solve for x
    x = 4,170,311,401,589.38/932,140.41
  6. Step 6: Final answer
    x = 4,473,909.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.