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Finding the Third Proportional to 1,267,023 and 2,732,091

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Solution

The third proportional to 1,267,023 and 2,732,091 is: 5,891,227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,023 : 2,732,091 = 2,732,091 : x
  2. Step 2: Convert to fraction form
    1,267,023/2,732,091 = 2,732,091/x
  3. Step 3: Cross multiply
    1,267,023x = 2,732,091 × 2,732,091
  4. Step 4: Simplify right side
    1,267,023x = 7,464,321,232,281
  5. Step 5: Solve for x
    x = 7,464,321,232,281/1,267,023
  6. Step 6: Final answer
    x = 5,891,227.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.