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Finding the Third Proportional to 840,839 and 1,974,005

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Solution

The third proportional to 840,839 and 1,974,005 is: 4,634,294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,839 : 1,974,005 = 1,974,005 : x
  2. Step 2: Convert to fraction form
    840,839/1,974,005 = 1,974,005/x
  3. Step 3: Cross multiply
    840,839x = 1,974,005 × 1,974,005
  4. Step 4: Simplify right side
    840,839x = 3,896,695,740,025
  5. Step 5: Solve for x
    x = 3,896,695,740,025/840,839
  6. Step 6: Final answer
    x = 4,634,294.72

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.