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Finding the Third Proportional to 869,412 and 1,893,462

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Solution

The third proportional to 869,412 and 1,893,462 is: 4,123,704.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,412 : 1,893,462 = 1,893,462 : x
  2. Step 2: Convert to fraction form
    869,412/1,893,462 = 1,893,462/x
  3. Step 3: Cross multiply
    869,412x = 1,893,462 × 1,893,462
  4. Step 4: Simplify right side
    869,412x = 3,585,198,345,444
  5. Step 5: Solve for x
    x = 3,585,198,345,444/869,412
  6. Step 6: Final answer
    x = 4,123,704.69

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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.