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Finding the Third Proportional to 1,693,440 and 2,414,040

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Solution

The third proportional to 1,693,440 and 2,414,040 is: 3,441,272.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,440 : 2,414,040 = 2,414,040 : x
  2. Step 2: Convert to fraction form
    1,693,440/2,414,040 = 2,414,040/x
  3. Step 3: Cross multiply
    1,693,440x = 2,414,040 × 2,414,040
  4. Step 4: Simplify right side
    1,693,440x = 5,827,589,121,600
  5. Step 5: Solve for x
    x = 5,827,589,121,600/1,693,440
  6. Step 6: Final answer
    x = 3,441,272.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.