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Finding the Third Proportional to 4,518,201 and 6,883,206

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Solution

The third proportional to 4,518,201 and 6,883,206 is: 10,486,148.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,518,201 : 6,883,206 = 6,883,206 : x
  2. Step 2: Convert to fraction form
    4,518,201/6,883,206 = 6,883,206/x
  3. Step 3: Cross multiply
    4,518,201x = 6,883,206 × 6,883,206
  4. Step 4: Simplify right side
    4,518,201x = 47,378,524,838,436
  5. Step 5: Solve for x
    x = 47,378,524,838,436/4,518,201
  6. Step 6: Final answer
    x = 10,486,148.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.