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Finding the Third Proportional to 705,206 and 1,059,357

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Solution

The third proportional to 705,206 and 1,059,357 is: 1,591,360.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,206 : 1,059,357 = 1,059,357 : x
  2. Step 2: Convert to fraction form
    705,206/1,059,357 = 1,059,357/x
  3. Step 3: Cross multiply
    705,206x = 1,059,357 × 1,059,357
  4. Step 4: Simplify right side
    705,206x = 1,122,237,253,449
  5. Step 5: Solve for x
    x = 1,122,237,253,449/705,206
  6. Step 6: Final answer
    x = 1,591,360.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.