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Finding the Third Proportional to 840,840.75 and 1,974,007.97

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Solution

The third proportional to 840,840.75 and 1,974,007.97 is: 4,634,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,840.75 : 1,974,007.97 = 1,974,007.97 : x
  2. Step 2: Convert to fraction form
    840,840.75/1,974,007.97 = 1,974,007.97/x
  3. Step 3: Cross multiply
    840,840.75x = 1,974,007.97 × 1,974,007.97
  4. Step 4: Simplify right side
    840,840.75x = 3,896,707,460,688.50
  5. Step 5: Solve for x
    x = 3,896,707,460,688.50/840,840.75
  6. Step 6: Final answer
    x = 4,634,299.02

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Why These Related Problems?

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