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Finding the Third Proportional to 927,336 and 1,954,304

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Solution

The third proportional to 927,336 and 1,954,304 is: 4,118,576.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,336 : 1,954,304 = 1,954,304 : x
  2. Step 2: Convert to fraction form
    927,336/1,954,304 = 1,954,304/x
  3. Step 3: Cross multiply
    927,336x = 1,954,304 × 1,954,304
  4. Step 4: Simplify right side
    927,336x = 3,819,304,124,416
  5. Step 5: Solve for x
    x = 3,819,304,124,416/927,336
  6. Step 6: Final answer
    x = 4,118,576.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.