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Finding the Third Proportional to 1,214,960 and 2,812,650

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Solution

The third proportional to 1,214,960 and 2,812,650 is: 6,511,325.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,960 : 2,812,650 = 2,812,650 : x
  2. Step 2: Convert to fraction form
    1,214,960/2,812,650 = 2,812,650/x
  3. Step 3: Cross multiply
    1,214,960x = 2,812,650 × 2,812,650
  4. Step 4: Simplify right side
    1,214,960x = 7,911,000,022,500
  5. Step 5: Solve for x
    x = 7,911,000,022,500/1,214,960
  6. Step 6: Final answer
    x = 6,511,325.49

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.