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Finding the Third Proportional to 442,482 and 965,334

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Solution

The third proportional to 442,482 and 965,334 is: 2,106,005.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,482 : 965,334 = 965,334 : x
  2. Step 2: Convert to fraction form
    442,482/965,334 = 965,334/x
  3. Step 3: Cross multiply
    442,482x = 965,334 × 965,334
  4. Step 4: Simplify right side
    442,482x = 931,869,731,556
  5. Step 5: Solve for x
    x = 931,869,731,556/442,482
  6. Step 6: Final answer
    x = 2,106,005.97

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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.