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Finding the Third Proportional to 675,826 and 1,571,465

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Solution

The third proportional to 675,826 and 1,571,465 is: 3,654,050.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,826 : 1,571,465 = 1,571,465 : x
  2. Step 2: Convert to fraction form
    675,826/1,571,465 = 1,571,465/x
  3. Step 3: Cross multiply
    675,826x = 1,571,465 × 1,571,465
  4. Step 4: Simplify right side
    675,826x = 2,469,502,246,225
  5. Step 5: Solve for x
    x = 2,469,502,246,225/675,826
  6. Step 6: Final answer
    x = 3,654,050.37

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.