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Finding the Third Proportional to 427,338 and 934,057

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Solution

The third proportional to 427,338 and 934,057 is: 2,041,621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,338 : 934,057 = 934,057 : x
  2. Step 2: Convert to fraction form
    427,338/934,057 = 934,057/x
  3. Step 3: Cross multiply
    427,338x = 934,057 × 934,057
  4. Step 4: Simplify right side
    427,338x = 872,462,479,249
  5. Step 5: Solve for x
    x = 872,462,479,249/427,338
  6. Step 6: Final answer
    x = 2,041,621.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.