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Finding the Third Proportional to 705,026 and 1,490,422

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Solution

The third proportional to 705,026 and 1,490,422 is: 3,150,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,026 : 1,490,422 = 1,490,422 : x
  2. Step 2: Convert to fraction form
    705,026/1,490,422 = 1,490,422/x
  3. Step 3: Cross multiply
    705,026x = 1,490,422 × 1,490,422
  4. Step 4: Simplify right side
    705,026x = 2,221,357,738,084
  5. Step 5: Solve for x
    x = 2,221,357,738,084/705,026
  6. Step 6: Final answer
    x = 3,150,745.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.