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Finding the Third Proportional to 3,014,289 and 4,490,295

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Solution

The third proportional to 3,014,289 and 4,490,295 is: 6,689,056.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014,289 : 4,490,295 = 4,490,295 : x
  2. Step 2: Convert to fraction form
    3,014,289/4,490,295 = 4,490,295/x
  3. Step 3: Cross multiply
    3,014,289x = 4,490,295 × 4,490,295
  4. Step 4: Simplify right side
    3,014,289x = 20,162,749,187,025
  5. Step 5: Solve for x
    x = 20,162,749,187,025/3,014,289
  6. Step 6: Final answer
    x = 6,689,056.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.