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Finding the Third Proportional to 794,442 and 1,020,043.50

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Solution

The third proportional to 794,442 and 1,020,043.50 is: 1,309,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,442 : 1,020,043.50 = 1,020,043.50 : x
  2. Step 2: Convert to fraction form
    794,442/1,020,043.50 = 1,020,043.50/x
  3. Step 3: Cross multiply
    794,442x = 1,020,043.50 × 1,020,043.50
  4. Step 4: Simplify right side
    794,442x = 1,040,488,741,892.25
  5. Step 5: Solve for x
    x = 1,040,488,741,892.25/794,442
  6. Step 6: Final answer
    x = 1,309,710.14

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