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Finding the Third Proportional to 1,175,904 and 2,576,013

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Solution

The third proportional to 1,175,904 and 2,576,013 is: 5,643,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175,904 : 2,576,013 = 2,576,013 : x
  2. Step 2: Convert to fraction form
    1,175,904/2,576,013 = 2,576,013/x
  3. Step 3: Cross multiply
    1,175,904x = 2,576,013 × 2,576,013
  4. Step 4: Simplify right side
    1,175,904x = 6,635,842,976,169
  5. Step 5: Solve for x
    x = 6,635,842,976,169/1,175,904
  6. Step 6: Final answer
    x = 5,643,184.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.