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Finding the Third Proportional to 1,234,800 and 2,705,724

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Solution

The third proportional to 1,234,800 and 2,705,724 is: 5,928,848.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234,800 : 2,705,724 = 2,705,724 : x
  2. Step 2: Convert to fraction form
    1,234,800/2,705,724 = 2,705,724/x
  3. Step 3: Cross multiply
    1,234,800x = 2,705,724 × 2,705,724
  4. Step 4: Simplify right side
    1,234,800x = 7,320,942,364,176
  5. Step 5: Solve for x
    x = 7,320,942,364,176/1,234,800
  6. Step 6: Final answer
    x = 5,928,848.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.