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Finding the Third Proportional to 1,160,616.09 and 2,557,428.19

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Solution

The third proportional to 1,160,616.09 and 2,557,428.19 is: 5,635,316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160,616.09 : 2,557,428.19 = 2,557,428.19 : x
  2. Step 2: Convert to fraction form
    1,160,616.09/2,557,428.19 = 2,557,428.19/x
  3. Step 3: Cross multiply
    1,160,616.09x = 2,557,428.19 × 2,557,428.19
  4. Step 4: Simplify right side
    1,160,616.09x = 6,540,438,934,219.54
  5. Step 5: Solve for x
    x = 6,540,438,934,219.54/1,160,616.09
  6. Step 6: Final answer
    x = 5,635,316.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.