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Finding the Third Proportional to 3,407,260 and 7,287,276

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Solution

The third proportional to 3,407,260 and 7,287,276 is: 15,585,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407,260 : 7,287,276 = 7,287,276 : x
  2. Step 2: Convert to fraction form
    3,407,260/7,287,276 = 7,287,276/x
  3. Step 3: Cross multiply
    3,407,260x = 7,287,276 × 7,287,276
  4. Step 4: Simplify right side
    3,407,260x = 53,104,391,500,176
  5. Step 5: Solve for x
    x = 53,104,391,500,176/3,407,260
  6. Step 6: Final answer
    x = 15,585,658.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.