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Finding the Third Proportional to 807,723 and 1,267,191

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Solution

The third proportional to 807,723 and 1,267,191 is: 1,988,024.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,723 : 1,267,191 = 1,267,191 : x
  2. Step 2: Convert to fraction form
    807,723/1,267,191 = 1,267,191/x
  3. Step 3: Cross multiply
    807,723x = 1,267,191 × 1,267,191
  4. Step 4: Simplify right side
    807,723x = 1,605,773,030,481
  5. Step 5: Solve for x
    x = 1,605,773,030,481/807,723
  6. Step 6: Final answer
    x = 1,988,024.40

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.