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Finding the Third Proportional to 1,214,672 and 2,812,025

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Solution

The third proportional to 1,214,672 and 2,812,025 is: 6,509,975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,672 : 2,812,025 = 2,812,025 : x
  2. Step 2: Convert to fraction form
    1,214,672/2,812,025 = 2,812,025/x
  3. Step 3: Cross multiply
    1,214,672x = 2,812,025 × 2,812,025
  4. Step 4: Simplify right side
    1,214,672x = 7,907,484,600,625
  5. Step 5: Solve for x
    x = 7,907,484,600,625/1,214,672
  6. Step 6: Final answer
    x = 6,509,975.20

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Why These Related Problems?

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