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Finding the Third Proportional to 1,025,764 and 2,232,133

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Solution

The third proportional to 1,025,764 and 2,232,133 is: 4,857,274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,764 : 2,232,133 = 2,232,133 : x
  2. Step 2: Convert to fraction form
    1,025,764/2,232,133 = 2,232,133/x
  3. Step 3: Cross multiply
    1,025,764x = 2,232,133 × 2,232,133
  4. Step 4: Simplify right side
    1,025,764x = 4,982,417,729,689
  5. Step 5: Solve for x
    x = 4,982,417,729,689/1,025,764
  6. Step 6: Final answer
    x = 4,857,274.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.