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Finding the Third Proportional to 4,286,288 and 6,484,536

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Solution

The third proportional to 4,286,288 and 6,484,536 is: 9,810,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286,288 : 6,484,536 = 6,484,536 : x
  2. Step 2: Convert to fraction form
    4,286,288/6,484,536 = 6,484,536/x
  3. Step 3: Cross multiply
    4,286,288x = 6,484,536 × 6,484,536
  4. Step 4: Simplify right side
    4,286,288x = 42,049,207,135,296
  5. Step 5: Solve for x
    x = 42,049,207,135,296/4,286,288
  6. Step 6: Final answer
    x = 9,810,168.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.