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Finding the Third Proportional to 874,695 and 1,428,298.50

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Solution

The third proportional to 874,695 and 1,428,298.50 is: 2,332,283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,695 : 1,428,298.50 = 1,428,298.50 : x
  2. Step 2: Convert to fraction form
    874,695/1,428,298.50 = 1,428,298.50/x
  3. Step 3: Cross multiply
    874,695x = 1,428,298.50 × 1,428,298.50
  4. Step 4: Simplify right side
    874,695x = 2,040,036,605,102.25
  5. Step 5: Solve for x
    x = 2,040,036,605,102.25/874,695
  6. Step 6: Final answer
    x = 2,332,283.37

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.