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Finding the Third Proportional to 923,400 and 1,418,391

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Solution

The third proportional to 923,400 and 1,418,391 is: 2,178,723.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,400 : 1,418,391 = 1,418,391 : x
  2. Step 2: Convert to fraction form
    923,400/1,418,391 = 1,418,391/x
  3. Step 3: Cross multiply
    923,400x = 1,418,391 × 1,418,391
  4. Step 4: Simplify right side
    923,400x = 2,011,833,028,881
  5. Step 5: Solve for x
    x = 2,011,833,028,881/923,400
  6. Step 6: Final answer
    x = 2,178,723.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.