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Finding the Third Proportional to 4,199,783 and 6,515,460

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Solution

The third proportional to 4,199,783 and 6,515,460 is: 10,107,955.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199,783 : 6,515,460 = 6,515,460 : x
  2. Step 2: Convert to fraction form
    4,199,783/6,515,460 = 6,515,460/x
  3. Step 3: Cross multiply
    4,199,783x = 6,515,460 × 6,515,460
  4. Step 4: Simplify right side
    4,199,783x = 42,451,219,011,600
  5. Step 5: Solve for x
    x = 42,451,219,011,600/4,199,783
  6. Step 6: Final answer
    x = 10,107,955.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.