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Finding the Third Proportional to 1,693,359 and 2,413,912

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Solution

The third proportional to 1,693,359 and 2,413,912 is: 3,441,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693,359 : 2,413,912 = 2,413,912 : x
  2. Step 2: Convert to fraction form
    1,693,359/2,413,912 = 2,413,912/x
  3. Step 3: Cross multiply
    1,693,359x = 2,413,912 × 2,413,912
  4. Step 4: Simplify right side
    1,693,359x = 5,826,971,143,744
  5. Step 5: Solve for x
    x = 5,826,971,143,744/1,693,359
  6. Step 6: Final answer
    x = 3,441,072.53

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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.