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Finding the Third Proportional to 1,438,448 and 2,072,040

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Solution

The third proportional to 1,438,448 and 2,072,040 is: 2,984,709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438,448 : 2,072,040 = 2,072,040 : x
  2. Step 2: Convert to fraction form
    1,438,448/2,072,040 = 2,072,040/x
  3. Step 3: Cross multiply
    1,438,448x = 2,072,040 × 2,072,040
  4. Step 4: Simplify right side
    1,438,448x = 4,293,349,761,600
  5. Step 5: Solve for x
    x = 4,293,349,761,600/1,438,448
  6. Step 6: Final answer
    x = 2,984,709.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.