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Finding the Third Proportional to 794,562.75 and 1,210,204.13

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Solution

The third proportional to 794,562.75 and 1,210,204.13 is: 1,843,270.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,562.75 : 1,210,204.13 = 1,210,204.13 : x
  2. Step 2: Convert to fraction form
    794,562.75/1,210,204.13 = 1,210,204.13/x
  3. Step 3: Cross multiply
    794,562.75x = 1,210,204.13 × 1,210,204.13
  4. Step 4: Simplify right side
    794,562.75x = 1,464,594,024,167.02
  5. Step 5: Solve for x
    x = 1,464,594,024,167.02/794,562.75
  6. Step 6: Final answer
    x = 1,843,270.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.