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Finding the Third Proportional to 3,011,863.50 and 4,524,417

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Solution

The third proportional to 3,011,863.50 and 4,524,417 is: 6,796,572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011,863.50 : 4,524,417 = 4,524,417 : x
  2. Step 2: Convert to fraction form
    3,011,863.50/4,524,417 = 4,524,417/x
  3. Step 3: Cross multiply
    3,011,863.50x = 4,524,417 × 4,524,417
  4. Step 4: Simplify right side
    3,011,863.50x = 20,470,349,189,889
  5. Step 5: Solve for x
    x = 20,470,349,189,889/3,011,863.50
  6. Step 6: Final answer
    x = 6,796,572.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.