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Finding the Third Proportional to 578,896 and 1,251,392

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Solution

The third proportional to 578,896 and 1,251,392 is: 2,705,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,896 : 1,251,392 = 1,251,392 : x
  2. Step 2: Convert to fraction form
    578,896/1,251,392 = 1,251,392/x
  3. Step 3: Cross multiply
    578,896x = 1,251,392 × 1,251,392
  4. Step 4: Simplify right side
    578,896x = 1,565,981,937,664
  5. Step 5: Solve for x
    x = 1,565,981,937,664/578,896
  6. Step 6: Final answer
    x = 2,705,117.91

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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.