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Finding the Third Proportional to 838,056 and 1,297,398

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Solution

The third proportional to 838,056 and 1,297,398 is: 2,008,507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,056 : 1,297,398 = 1,297,398 : x
  2. Step 2: Convert to fraction form
    838,056/1,297,398 = 1,297,398/x
  3. Step 3: Cross multiply
    838,056x = 1,297,398 × 1,297,398
  4. Step 4: Simplify right side
    838,056x = 1,683,241,570,404
  5. Step 5: Solve for x
    x = 1,683,241,570,404/838,056
  6. Step 6: Final answer
    x = 2,008,507.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.