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Finding the Third Proportional to 591,193 and 1,292,808

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Solution

The third proportional to 591,193 and 1,292,808 is: 2,827,084.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,193 : 1,292,808 = 1,292,808 : x
  2. Step 2: Convert to fraction form
    591,193/1,292,808 = 1,292,808/x
  3. Step 3: Cross multiply
    591,193x = 1,292,808 × 1,292,808
  4. Step 4: Simplify right side
    591,193x = 1,671,352,524,864
  5. Step 5: Solve for x
    x = 1,671,352,524,864/591,193
  6. Step 6: Final answer
    x = 2,827,084.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.