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Finding the Third Proportional to 794,442 and 1,020,043

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Solution

The third proportional to 794,442 and 1,020,043 is: 1,309,708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,442 : 1,020,043 = 1,020,043 : x
  2. Step 2: Convert to fraction form
    794,442/1,020,043 = 1,020,043/x
  3. Step 3: Cross multiply
    794,442x = 1,020,043 × 1,020,043
  4. Step 4: Simplify right side
    794,442x = 1,040,487,721,849
  5. Step 5: Solve for x
    x = 1,040,487,721,849/794,442
  6. Step 6: Final answer
    x = 1,309,708.85

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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.