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Finding the Third Proportional to 811,363.50 and 1,284,774

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Solution

The third proportional to 811,363.50 and 1,284,774 is: 2,034,407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,363.50 : 1,284,774 = 1,284,774 : x
  2. Step 2: Convert to fraction form
    811,363.50/1,284,774 = 1,284,774/x
  3. Step 3: Cross multiply
    811,363.50x = 1,284,774 × 1,284,774
  4. Step 4: Simplify right side
    811,363.50x = 1,650,644,231,076
  5. Step 5: Solve for x
    x = 1,650,644,231,076/811,363.50
  6. Step 6: Final answer
    x = 2,034,407.80

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.