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Finding the Third Proportional to 986,113.13 and 2,048,042.25

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Solution

The third proportional to 986,113.13 and 2,048,042.25 is: 4,253,545.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,113.13 : 2,048,042.25 = 2,048,042.25 : x
  2. Step 2: Convert to fraction form
    986,113.13/2,048,042.25 = 2,048,042.25/x
  3. Step 3: Cross multiply
    986,113.13x = 2,048,042.25 × 2,048,042.25
  4. Step 4: Simplify right side
    986,113.13x = 4,194,477,057,785.06
  5. Step 5: Solve for x
    x = 4,194,477,057,785.06/986,113.13
  6. Step 6: Final answer
    x = 4,253,545.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.