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Finding the Third Proportional to 862,447.50 and 1,295,740.13

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Solution

The third proportional to 862,447.50 and 1,295,740.13 is: 1,946,718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,447.50 : 1,295,740.13 = 1,295,740.13 : x
  2. Step 2: Convert to fraction form
    862,447.50/1,295,740.13 = 1,295,740.13/x
  3. Step 3: Cross multiply
    862,447.50x = 1,295,740.13 × 1,295,740.13
  4. Step 4: Simplify right side
    862,447.50x = 1,678,942,471,535.02
  5. Step 5: Solve for x
    x = 1,678,942,471,535.02/862,447.50
  6. Step 6: Final answer
    x = 1,946,718.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.