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Finding the Third Proportional to 491,358.38 and 1,041,755.63

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Solution

The third proportional to 491,358.38 and 1,041,755.63 is: 2,208,682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,358.38 : 1,041,755.63 = 1,041,755.63 : x
  2. Step 2: Convert to fraction form
    491,358.38/1,041,755.63 = 1,041,755.63/x
  3. Step 3: Cross multiply
    491,358.38x = 1,041,755.63 × 1,041,755.63
  4. Step 4: Simplify right side
    491,358.38x = 1,085,254,782,219.14
  5. Step 5: Solve for x
    x = 1,085,254,782,219.14/491,358.38
  6. Step 6: Final answer
    x = 2,208,682.78

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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.