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Finding the Third Proportional to 705,606 and 1,502,247

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Solution

The third proportional to 705,606 and 1,502,247 is: 3,198,309.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,606 : 1,502,247 = 1,502,247 : x
  2. Step 2: Convert to fraction form
    705,606/1,502,247 = 1,502,247/x
  3. Step 3: Cross multiply
    705,606x = 1,502,247 × 1,502,247
  4. Step 4: Simplify right side
    705,606x = 2,256,746,049,009
  5. Step 5: Solve for x
    x = 2,256,746,049,009/705,606
  6. Step 6: Final answer
    x = 3,198,309.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.