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Finding the Third Proportional to 700,680 and 1,532,214

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Solution

The third proportional to 700,680 and 1,532,214 is: 3,350,573.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,680 : 1,532,214 = 1,532,214 : x
  2. Step 2: Convert to fraction form
    700,680/1,532,214 = 1,532,214/x
  3. Step 3: Cross multiply
    700,680x = 1,532,214 × 1,532,214
  4. Step 4: Simplify right side
    700,680x = 2,347,679,741,796
  5. Step 5: Solve for x
    x = 2,347,679,741,796/700,680
  6. Step 6: Final answer
    x = 3,350,573.36

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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.