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Finding the Third Proportional to 809,426 and 1,187,895

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Solution

The third proportional to 809,426 and 1,187,895 is: 1,743,327.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,426 : 1,187,895 = 1,187,895 : x
  2. Step 2: Convert to fraction form
    809,426/1,187,895 = 1,187,895/x
  3. Step 3: Cross multiply
    809,426x = 1,187,895 × 1,187,895
  4. Step 4: Simplify right side
    809,426x = 1,411,094,531,025
  5. Step 5: Solve for x
    x = 1,411,094,531,025/809,426
  6. Step 6: Final answer
    x = 1,743,327.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.