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Finding the Third Proportional to 700,668 and 1,532,205

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Solution

The third proportional to 700,668 and 1,532,205 is: 3,350,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,668 : 1,532,205 = 1,532,205 : x
  2. Step 2: Convert to fraction form
    700,668/1,532,205 = 1,532,205/x
  3. Step 3: Cross multiply
    700,668x = 1,532,205 × 1,532,205
  4. Step 4: Simplify right side
    700,668x = 2,347,652,162,025
  5. Step 5: Solve for x
    x = 2,347,652,162,025/700,668
  6. Step 6: Final answer
    x = 3,350,591.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.