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Finding the Third Proportional to 923,305 and 1,418,309

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Solution

The third proportional to 923,305 and 1,418,309 is: 2,178,695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,305 : 1,418,309 = 1,418,309 : x
  2. Step 2: Convert to fraction form
    923,305/1,418,309 = 1,418,309/x
  3. Step 3: Cross multiply
    923,305x = 1,418,309 × 1,418,309
  4. Step 4: Simplify right side
    923,305x = 2,011,600,419,481
  5. Step 5: Solve for x
    x = 2,011,600,419,481/923,305
  6. Step 6: Final answer
    x = 2,178,695.47

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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.