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Finding the Third Proportional to 464,104 and 1,013,424

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Solution

The third proportional to 464,104 and 1,013,424 is: 2,212,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,104 : 1,013,424 = 1,013,424 : x
  2. Step 2: Convert to fraction form
    464,104/1,013,424 = 1,013,424/x
  3. Step 3: Cross multiply
    464,104x = 1,013,424 × 1,013,424
  4. Step 4: Simplify right side
    464,104x = 1,027,028,203,776
  5. Step 5: Solve for x
    x = 1,027,028,203,776/464,104
  6. Step 6: Final answer
    x = 2,212,926.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.