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Finding the Third Proportional to 666,291 and 1,023,505

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Solution

The third proportional to 666,291 and 1,023,505 is: 1,572,229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,291 : 1,023,505 = 1,023,505 : x
  2. Step 2: Convert to fraction form
    666,291/1,023,505 = 1,023,505/x
  3. Step 3: Cross multiply
    666,291x = 1,023,505 × 1,023,505
  4. Step 4: Simplify right side
    666,291x = 1,047,562,485,025
  5. Step 5: Solve for x
    x = 1,047,562,485,025/666,291
  6. Step 6: Final answer
    x = 1,572,229.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.