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Finding the Third Proportional to 853,092 and 1,974,942

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Solution

The third proportional to 853,092 and 1,974,942 is: 4,572,069.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,092 : 1,974,942 = 1,974,942 : x
  2. Step 2: Convert to fraction form
    853,092/1,974,942 = 1,974,942/x
  3. Step 3: Cross multiply
    853,092x = 1,974,942 × 1,974,942
  4. Step 4: Simplify right side
    853,092x = 3,900,395,903,364
  5. Step 5: Solve for x
    x = 3,900,395,903,364/853,092
  6. Step 6: Final answer
    x = 4,572,069.49

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.