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Finding the Third Proportional to 982,764 and 1,526,629.50

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Solution

The third proportional to 982,764 and 1,526,629.50 is: 2,371,472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,764 : 1,526,629.50 = 1,526,629.50 : x
  2. Step 2: Convert to fraction form
    982,764/1,526,629.50 = 1,526,629.50/x
  3. Step 3: Cross multiply
    982,764x = 1,526,629.50 × 1,526,629.50
  4. Step 4: Simplify right side
    982,764x = 2,330,597,630,270.25
  5. Step 5: Solve for x
    x = 2,330,597,630,270.25/982,764
  6. Step 6: Final answer
    x = 2,371,472.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.