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Finding the Third Proportional to 691,099 and 1,437,374

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Solution

The third proportional to 691,099 and 1,437,374 is: 2,989,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,099 : 1,437,374 = 1,437,374 : x
  2. Step 2: Convert to fraction form
    691,099/1,437,374 = 1,437,374/x
  3. Step 3: Cross multiply
    691,099x = 1,437,374 × 1,437,374
  4. Step 4: Simplify right side
    691,099x = 2,066,044,015,876
  5. Step 5: Solve for x
    x = 2,066,044,015,876/691,099
  6. Step 6: Final answer
    x = 2,989,505.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.