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Finding the Third Proportional to 4,426,837 and 6,513,667

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Solution

The third proportional to 4,426,837 and 6,513,667 is: 9,584,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,426,837 : 6,513,667 = 6,513,667 : x
  2. Step 2: Convert to fraction form
    4,426,837/6,513,667 = 6,513,667/x
  3. Step 3: Cross multiply
    4,426,837x = 6,513,667 × 6,513,667
  4. Step 4: Simplify right side
    4,426,837x = 42,427,857,786,889
  5. Step 5: Solve for x
    x = 42,427,857,786,889/4,426,837
  6. Step 6: Final answer
    x = 9,584,237.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.