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Finding the Third Proportional to 811,437.75 and 1,752,968.25

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Solution

The third proportional to 811,437.75 and 1,752,968.25 is: 3,786,978.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,437.75 : 1,752,968.25 = 1,752,968.25 : x
  2. Step 2: Convert to fraction form
    811,437.75/1,752,968.25 = 1,752,968.25/x
  3. Step 3: Cross multiply
    811,437.75x = 1,752,968.25 × 1,752,968.25
  4. Step 4: Simplify right side
    811,437.75x = 3,072,897,685,508.06
  5. Step 5: Solve for x
    x = 3,072,897,685,508.06/811,437.75
  6. Step 6: Final answer
    x = 3,786,978.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.