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Finding the Third Proportional to 826,474.50 and 1,277,112.38

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Solution

The third proportional to 826,474.50 and 1,277,112.38 is: 1,973,462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,474.50 : 1,277,112.38 = 1,277,112.38 : x
  2. Step 2: Convert to fraction form
    826,474.50/1,277,112.38 = 1,277,112.38/x
  3. Step 3: Cross multiply
    826,474.50x = 1,277,112.38 × 1,277,112.38
  4. Step 4: Simplify right side
    826,474.50x = 1,631,016,018,378.14
  5. Step 5: Solve for x
    x = 1,631,016,018,378.14/826,474.50
  6. Step 6: Final answer
    x = 1,973,462.00

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