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Finding the Third Proportional to 1,224,414 and 2,859,208

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Solution

The third proportional to 1,224,414 and 2,859,208 is: 6,676,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224,414 : 2,859,208 = 2,859,208 : x
  2. Step 2: Convert to fraction form
    1,224,414/2,859,208 = 2,859,208/x
  3. Step 3: Cross multiply
    1,224,414x = 2,859,208 × 2,859,208
  4. Step 4: Simplify right side
    1,224,414x = 8,175,070,387,264
  5. Step 5: Solve for x
    x = 8,175,070,387,264/1,224,414
  6. Step 6: Final answer
    x = 6,676,720.77

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.