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Finding the Third Proportional to 1,693,797 and 2,414,429

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Solution

The third proportional to 1,693,797 and 2,414,429 is: 3,441,656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,797 : 2,414,429 = 2,414,429 : x
  2. Step 2: Convert to fraction form
    1,693,797/2,414,429 = 2,414,429/x
  3. Step 3: Cross multiply
    1,693,797x = 2,414,429 × 2,414,429
  4. Step 4: Simplify right side
    1,693,797x = 5,829,467,396,041
  5. Step 5: Solve for x
    x = 5,829,467,396,041/1,693,797
  6. Step 6: Final answer
    x = 3,441,656.47

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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.