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Finding the Third Proportional to 2,138,265 and 4,652,967

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Solution

The third proportional to 2,138,265 and 4,652,967 is: 10,125,078.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,265 : 4,652,967 = 4,652,967 : x
  2. Step 2: Convert to fraction form
    2,138,265/4,652,967 = 4,652,967/x
  3. Step 3: Cross multiply
    2,138,265x = 4,652,967 × 4,652,967
  4. Step 4: Simplify right side
    2,138,265x = 21,650,101,903,089
  5. Step 5: Solve for x
    x = 21,650,101,903,089/2,138,265
  6. Step 6: Final answer
    x = 10,125,078.93

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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.