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Finding the Third Proportional to 3,202,026 and 4,952,668

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Solution

The third proportional to 3,202,026 and 4,952,668 is: 7,660,437.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202,026 : 4,952,668 = 4,952,668 : x
  2. Step 2: Convert to fraction form
    3,202,026/4,952,668 = 4,952,668/x
  3. Step 3: Cross multiply
    3,202,026x = 4,952,668 × 4,952,668
  4. Step 4: Simplify right side
    3,202,026x = 24,528,920,318,224
  5. Step 5: Solve for x
    x = 24,528,920,318,224/3,202,026
  6. Step 6: Final answer
    x = 7,660,437.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.