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Finding the Third Proportional to 794,544.19 and 1,020,205.13

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Solution

The third proportional to 794,544.19 and 1,020,205.13 is: 1,309,956.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,544.19 : 1,020,205.13 = 1,020,205.13 : x
  2. Step 2: Convert to fraction form
    794,544.19/1,020,205.13 = 1,020,205.13/x
  3. Step 3: Cross multiply
    794,544.19x = 1,020,205.13 × 1,020,205.13
  4. Step 4: Simplify right side
    794,544.19x = 1,040,818,497,076.27
  5. Step 5: Solve for x
    x = 1,040,818,497,076.27/794,544.19
  6. Step 6: Final answer
    x = 1,309,956.72

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.