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Finding the Third Proportional to 650,841 and 1,401,564

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Solution

The third proportional to 650,841 and 1,401,564 is: 3,018,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,841 : 1,401,564 = 1,401,564 : x
  2. Step 2: Convert to fraction form
    650,841/1,401,564 = 1,401,564/x
  3. Step 3: Cross multiply
    650,841x = 1,401,564 × 1,401,564
  4. Step 4: Simplify right side
    650,841x = 1,964,381,646,096
  5. Step 5: Solve for x
    x = 1,964,381,646,096/650,841
  6. Step 6: Final answer
    x = 3,018,220.50

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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.