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Finding the Third Proportional to 807,727 and 1,267,196

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Solution

The third proportional to 807,727 and 1,267,196 is: 1,988,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,727 : 1,267,196 = 1,267,196 : x
  2. Step 2: Convert to fraction form
    807,727/1,267,196 = 1,267,196/x
  3. Step 3: Cross multiply
    807,727x = 1,267,196 × 1,267,196
  4. Step 4: Simplify right side
    807,727x = 1,605,785,702,416
  5. Step 5: Solve for x
    x = 1,605,785,702,416/807,727
  6. Step 6: Final answer
    x = 1,988,030.24

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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.