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Finding the Third Proportional to 650,812 and 1,401,639

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Solution

The third proportional to 650,812 and 1,401,639 is: 3,018,678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,812 : 1,401,639 = 1,401,639 : x
  2. Step 2: Convert to fraction form
    650,812/1,401,639 = 1,401,639/x
  3. Step 3: Cross multiply
    650,812x = 1,401,639 × 1,401,639
  4. Step 4: Simplify right side
    650,812x = 1,964,591,886,321
  5. Step 5: Solve for x
    x = 1,964,591,886,321/650,812
  6. Step 6: Final answer
    x = 3,018,678.03

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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.