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Finding the Third Proportional to 1,434,805 and 2,197,405

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Solution

The third proportional to 1,434,805 and 2,197,405 is: 3,365,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434,805 : 2,197,405 = 2,197,405 : x
  2. Step 2: Convert to fraction form
    1,434,805/2,197,405 = 2,197,405/x
  3. Step 3: Cross multiply
    1,434,805x = 2,197,405 × 2,197,405
  4. Step 4: Simplify right side
    1,434,805x = 4,828,588,734,025
  5. Step 5: Solve for x
    x = 4,828,588,734,025/1,434,805
  6. Step 6: Final answer
    x = 3,365,327.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.