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Finding the Third Proportional to 3,248,260 and 4,766,214

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Solution

The third proportional to 3,248,260 and 4,766,214 is: 6,993,527.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248,260 : 4,766,214 = 4,766,214 : x
  2. Step 2: Convert to fraction form
    3,248,260/4,766,214 = 4,766,214/x
  3. Step 3: Cross multiply
    3,248,260x = 4,766,214 × 4,766,214
  4. Step 4: Simplify right side
    3,248,260x = 22,716,795,893,796
  5. Step 5: Solve for x
    x = 22,716,795,893,796/3,248,260
  6. Step 6: Final answer
    x = 6,993,527.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.