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Finding the Third Proportional to 916,540.13 and 1,386,606.38

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Solution

The third proportional to 916,540.13 and 1,386,606.38 is: 2,097,755.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,540.13 : 1,386,606.38 = 1,386,606.38 : x
  2. Step 2: Convert to fraction form
    916,540.13/1,386,606.38 = 1,386,606.38/x
  3. Step 3: Cross multiply
    916,540.13x = 1,386,606.38 × 1,386,606.38
  4. Step 4: Simplify right side
    916,540.13x = 1,922,677,239,190.64
  5. Step 5: Solve for x
    x = 1,922,677,239,190.64/916,540.13
  6. Step 6: Final answer
    x = 2,097,755.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.