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Finding the Third Proportional to 923,310 and 1,418,317

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Solution

The third proportional to 923,310 and 1,418,317 is: 2,178,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,310 : 1,418,317 = 1,418,317 : x
  2. Step 2: Convert to fraction form
    923,310/1,418,317 = 1,418,317/x
  3. Step 3: Cross multiply
    923,310x = 1,418,317 × 1,418,317
  4. Step 4: Simplify right side
    923,310x = 2,011,623,112,489
  5. Step 5: Solve for x
    x = 2,011,623,112,489/923,310
  6. Step 6: Final answer
    x = 2,178,708.25

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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.