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Finding the Third Proportional to 2,033,031 and 2,981,646

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Solution

The third proportional to 2,033,031 and 2,981,646 is: 4,372,886.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033,031 : 2,981,646 = 2,981,646 : x
  2. Step 2: Convert to fraction form
    2,033,031/2,981,646 = 2,981,646/x
  3. Step 3: Cross multiply
    2,033,031x = 2,981,646 × 2,981,646
  4. Step 4: Simplify right side
    2,033,031x = 8,890,212,869,316
  5. Step 5: Solve for x
    x = 8,890,212,869,316/2,033,031
  6. Step 6: Final answer
    x = 4,372,886.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.