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Finding the Third Proportional to 2,249,022 and 3,289,182

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Solution

The third proportional to 2,249,022 and 3,289,182 is: 4,810,410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249,022 : 3,289,182 = 3,289,182 : x
  2. Step 2: Convert to fraction form
    2,249,022/3,289,182 = 3,289,182/x
  3. Step 3: Cross multiply
    2,249,022x = 3,289,182 × 3,289,182
  4. Step 4: Simplify right side
    2,249,022x = 10,818,718,229,124
  5. Step 5: Solve for x
    x = 10,818,718,229,124/2,249,022
  6. Step 6: Final answer
    x = 4,810,410.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.