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Finding the Third Proportional to 2,597,032 and 3,881,013

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Solution

The third proportional to 2,597,032 and 3,881,013 is: 5,799,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597,032 : 3,881,013 = 3,881,013 : x
  2. Step 2: Convert to fraction form
    2,597,032/3,881,013 = 3,881,013/x
  3. Step 3: Cross multiply
    2,597,032x = 3,881,013 × 3,881,013
  4. Step 4: Simplify right side
    2,597,032x = 15,062,261,906,169
  5. Step 5: Solve for x
    x = 15,062,261,906,169/2,597,032
  6. Step 6: Final answer
    x = 5,799,798.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.