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Finding the Third Proportional to 2,138,266 and 4,652,969

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Solution

The third proportional to 2,138,266 and 4,652,969 is: 10,125,082.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,266 : 4,652,969 = 4,652,969 : x
  2. Step 2: Convert to fraction form
    2,138,266/4,652,969 = 4,652,969/x
  3. Step 3: Cross multiply
    2,138,266x = 4,652,969 × 4,652,969
  4. Step 4: Simplify right side
    2,138,266x = 21,650,120,514,961
  5. Step 5: Solve for x
    x = 21,650,120,514,961/2,138,266
  6. Step 6: Final answer
    x = 10,125,082.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.