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Finding the Third Proportional to 819,769 and 1,146,351

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Solution

The third proportional to 819,769 and 1,146,351 is: 1,603,037.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,769 : 1,146,351 = 1,146,351 : x
  2. Step 2: Convert to fraction form
    819,769/1,146,351 = 1,146,351/x
  3. Step 3: Cross multiply
    819,769x = 1,146,351 × 1,146,351
  4. Step 4: Simplify right side
    819,769x = 1,314,120,615,201
  5. Step 5: Solve for x
    x = 1,314,120,615,201/819,769
  6. Step 6: Final answer
    x = 1,603,037.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.