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Finding the Third Proportional to 4,354,227.75 and 6,865,287

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Solution

The third proportional to 4,354,227.75 and 6,865,287 is: 10,824,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354,227.75 : 6,865,287 = 6,865,287 : x
  2. Step 2: Convert to fraction form
    4,354,227.75/6,865,287 = 6,865,287/x
  3. Step 3: Cross multiply
    4,354,227.75x = 6,865,287 × 6,865,287
  4. Step 4: Simplify right side
    4,354,227.75x = 47,132,165,592,369
  5. Step 5: Solve for x
    x = 47,132,165,592,369/4,354,227.75
  6. Step 6: Final answer
    x = 10,824,460.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.