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Finding the Third Proportional to 819,766 and 1,146,350

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Solution

The third proportional to 819,766 and 1,146,350 is: 1,603,040.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,766 : 1,146,350 = 1,146,350 : x
  2. Step 2: Convert to fraction form
    819,766/1,146,350 = 1,146,350/x
  3. Step 3: Cross multiply
    819,766x = 1,146,350 × 1,146,350
  4. Step 4: Simplify right side
    819,766x = 1,314,118,322,500
  5. Step 5: Solve for x
    x = 1,314,118,322,500/819,766
  6. Step 6: Final answer
    x = 1,603,040.77

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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.