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Finding the Third Proportional to 650,823 and 1,401,659

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Solution

The third proportional to 650,823 and 1,401,659 is: 3,018,713.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,823 : 1,401,659 = 1,401,659 : x
  2. Step 2: Convert to fraction form
    650,823/1,401,659 = 1,401,659/x
  3. Step 3: Cross multiply
    650,823x = 1,401,659 × 1,401,659
  4. Step 4: Simplify right side
    650,823x = 1,964,647,952,281
  5. Step 5: Solve for x
    x = 1,964,647,952,281/650,823
  6. Step 6: Final answer
    x = 3,018,713.16

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.