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Finding the Third Proportional to 2,400,960 and 3,662,416

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Solution

The third proportional to 2,400,960 and 3,662,416 is: 5,586,636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400,960 : 3,662,416 = 3,662,416 : x
  2. Step 2: Convert to fraction form
    2,400,960/3,662,416 = 3,662,416/x
  3. Step 3: Cross multiply
    2,400,960x = 3,662,416 × 3,662,416
  4. Step 4: Simplify right side
    2,400,960x = 13,413,290,957,056
  5. Step 5: Solve for x
    x = 13,413,290,957,056/2,400,960
  6. Step 6: Final answer
    x = 5,586,636.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.