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Finding the Third Proportional to 1,964,421 and 2,934,531

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Solution

The third proportional to 1,964,421 and 2,934,531 is: 4,383,720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964,421 : 2,934,531 = 2,934,531 : x
  2. Step 2: Convert to fraction form
    1,964,421/2,934,531 = 2,934,531/x
  3. Step 3: Cross multiply
    1,964,421x = 2,934,531 × 2,934,531
  4. Step 4: Simplify right side
    1,964,421x = 8,611,472,189,961
  5. Step 5: Solve for x
    x = 8,611,472,189,961/1,964,421
  6. Step 6: Final answer
    x = 4,383,720.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.