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Finding the Third Proportional to 1,204,319 and 1,640,356

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Solution

The third proportional to 1,204,319 and 1,640,356 is: 2,234,265.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,319 : 1,640,356 = 1,640,356 : x
  2. Step 2: Convert to fraction form
    1,204,319/1,640,356 = 1,640,356/x
  3. Step 3: Cross multiply
    1,204,319x = 1,640,356 × 1,640,356
  4. Step 4: Simplify right side
    1,204,319x = 2,690,767,806,736
  5. Step 5: Solve for x
    x = 2,690,767,806,736/1,204,319
  6. Step 6: Final answer
    x = 2,234,265.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.