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Finding the Third Proportional to 809,766 and 1,731,612

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Solution

The third proportional to 809,766 and 1,731,612 is: 3,702,897.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,766 : 1,731,612 = 1,731,612 : x
  2. Step 2: Convert to fraction form
    809,766/1,731,612 = 1,731,612/x
  3. Step 3: Cross multiply
    809,766x = 1,731,612 × 1,731,612
  4. Step 4: Simplify right side
    809,766x = 2,998,480,118,544
  5. Step 5: Solve for x
    x = 2,998,480,118,544/809,766
  6. Step 6: Final answer
    x = 3,702,897.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.