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Finding the Third Proportional to 1,332,800 and 2,878,357

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Solution

The third proportional to 1,332,800 and 2,878,357 is: 6,216,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332,800 : 2,878,357 = 2,878,357 : x
  2. Step 2: Convert to fraction form
    1,332,800/2,878,357 = 2,878,357/x
  3. Step 3: Cross multiply
    1,332,800x = 2,878,357 × 2,878,357
  4. Step 4: Simplify right side
    1,332,800x = 8,284,939,019,449
  5. Step 5: Solve for x
    x = 8,284,939,019,449/1,332,800
  6. Step 6: Final answer
    x = 6,216,190.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.