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Finding the Third Proportional to 3,302,440.88 and 4,650,564.38

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Solution

The third proportional to 3,302,440.88 and 4,650,564.38 is: 6,549,019.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302,440.88 : 4,650,564.38 = 4,650,564.38 : x
  2. Step 2: Convert to fraction form
    3,302,440.88/4,650,564.38 = 4,650,564.38/x
  3. Step 3: Cross multiply
    3,302,440.88x = 4,650,564.38 × 4,650,564.38
  4. Step 4: Simplify right side
    3,302,440.88x = 21,627,749,006,019.14
  5. Step 5: Solve for x
    x = 21,627,749,006,019.14/3,302,440.88
  6. Step 6: Final answer
    x = 6,549,019.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.