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Finding the Third Proportional to 1,052,114 and 2,301,102

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Solution

The third proportional to 1,052,114 and 2,301,102 is: 5,032,791.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052,114 : 2,301,102 = 2,301,102 : x
  2. Step 2: Convert to fraction form
    1,052,114/2,301,102 = 2,301,102/x
  3. Step 3: Cross multiply
    1,052,114x = 2,301,102 × 2,301,102
  4. Step 4: Simplify right side
    1,052,114x = 5,295,070,414,404
  5. Step 5: Solve for x
    x = 5,295,070,414,404/1,052,114
  6. Step 6: Final answer
    x = 5,032,791.52

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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.