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Finding the Third Proportional to 650,866.50 and 1,401,642

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Solution

The third proportional to 650,866.50 and 1,401,642 is: 3,018,438.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,866.50 : 1,401,642 = 1,401,642 : x
  2. Step 2: Convert to fraction form
    650,866.50/1,401,642 = 1,401,642/x
  3. Step 3: Cross multiply
    650,866.50x = 1,401,642 × 1,401,642
  4. Step 4: Simplify right side
    650,866.50x = 1,964,600,296,164
  5. Step 5: Solve for x
    x = 1,964,600,296,164/650,866.50
  6. Step 6: Final answer
    x = 3,018,438.18

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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.