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Finding the Third Proportional to 1,175,906 and 2,576,017

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Solution

The third proportional to 1,175,906 and 2,576,017 is: 5,643,192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175,906 : 2,576,017 = 2,576,017 : x
  2. Step 2: Convert to fraction form
    1,175,906/2,576,017 = 2,576,017/x
  3. Step 3: Cross multiply
    1,175,906x = 2,576,017 × 2,576,017
  4. Step 4: Simplify right side
    1,175,906x = 6,635,863,584,289
  5. Step 5: Solve for x
    x = 6,635,863,584,289/1,175,906
  6. Step 6: Final answer
    x = 5,643,192.21

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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.