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Finding the Third Proportional to 923,306 and 1,418,311

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Solution

The third proportional to 923,306 and 1,418,311 is: 2,178,699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,306 : 1,418,311 = 1,418,311 : x
  2. Step 2: Convert to fraction form
    923,306/1,418,311 = 1,418,311/x
  3. Step 3: Cross multiply
    923,306x = 1,418,311 × 1,418,311
  4. Step 4: Simplify right side
    923,306x = 2,011,606,092,721
  5. Step 5: Solve for x
    x = 2,011,606,092,721/923,306
  6. Step 6: Final answer
    x = 2,178,699.25

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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.