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Finding the Third Proportional to 1,214,750 and 2,812,219

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Solution

The third proportional to 1,214,750 and 2,812,219 is: 6,510,455.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,750 : 2,812,219 = 2,812,219 : x
  2. Step 2: Convert to fraction form
    1,214,750/2,812,219 = 2,812,219/x
  3. Step 3: Cross multiply
    1,214,750x = 2,812,219 × 2,812,219
  4. Step 4: Simplify right side
    1,214,750x = 7,908,575,703,961
  5. Step 5: Solve for x
    x = 7,908,575,703,961/1,214,750
  6. Step 6: Final answer
    x = 6,510,455.41

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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.