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Finding the Third Proportional to 705,590 and 1,524,357

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Solution

The third proportional to 705,590 and 1,524,357 is: 3,293,221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,590 : 1,524,357 = 1,524,357 : x
  2. Step 2: Convert to fraction form
    705,590/1,524,357 = 1,524,357/x
  3. Step 3: Cross multiply
    705,590x = 1,524,357 × 1,524,357
  4. Step 4: Simplify right side
    705,590x = 2,323,664,263,449
  5. Step 5: Solve for x
    x = 2,323,664,263,449/705,590
  6. Step 6: Final answer
    x = 3,293,221.65

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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.