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Finding the Third Proportional to 450,462 and 979,330

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Solution

The third proportional to 450,462 and 979,330 is: 2,129,119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,462 : 979,330 = 979,330 : x
  2. Step 2: Convert to fraction form
    450,462/979,330 = 979,330/x
  3. Step 3: Cross multiply
    450,462x = 979,330 × 979,330
  4. Step 4: Simplify right side
    450,462x = 959,087,248,900
  5. Step 5: Solve for x
    x = 959,087,248,900/450,462
  6. Step 6: Final answer
    x = 2,129,119.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.