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Finding the Third Proportional to 1,065,728 and 2,229,984

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Solution

The third proportional to 1,065,728 and 2,229,984 is: 4,666,133.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,728 : 2,229,984 = 2,229,984 : x
  2. Step 2: Convert to fraction form
    1,065,728/2,229,984 = 2,229,984/x
  3. Step 3: Cross multiply
    1,065,728x = 2,229,984 × 2,229,984
  4. Step 4: Simplify right side
    1,065,728x = 4,972,828,640,256
  5. Step 5: Solve for x
    x = 4,972,828,640,256/1,065,728
  6. Step 6: Final answer
    x = 4,666,133.05

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.