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Finding the Third Proportional to 876,298 and 1,822,254

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Solution

The third proportional to 876,298 and 1,822,254 is: 3,789,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,298 : 1,822,254 = 1,822,254 : x
  2. Step 2: Convert to fraction form
    876,298/1,822,254 = 1,822,254/x
  3. Step 3: Cross multiply
    876,298x = 1,822,254 × 1,822,254
  4. Step 4: Simplify right side
    876,298x = 3,320,609,640,516
  5. Step 5: Solve for x
    x = 3,320,609,640,516/876,298
  6. Step 6: Final answer
    x = 3,789,361.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.