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Finding the Third Proportional to 870,841.13 and 2,049,006.38

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Solution

The third proportional to 870,841.13 and 2,049,006.38 is: 4,821,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,841.13 : 2,049,006.38 = 2,049,006.38 : x
  2. Step 2: Convert to fraction form
    870,841.13/2,049,006.38 = 2,049,006.38/x
  3. Step 3: Cross multiply
    870,841.13x = 2,049,006.38 × 2,049,006.38
  4. Step 4: Simplify right side
    870,841.13x = 4,198,427,124,790.64
  5. Step 5: Solve for x
    x = 4,198,427,124,790.64/870,841.13
  6. Step 6: Final answer
    x = 4,821,117.20

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.