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Finding the Third Proportional to 1,247,922 and 1,784,592

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Solution

The third proportional to 1,247,922 and 1,784,592 is: 2,552,057.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247,922 : 1,784,592 = 1,784,592 : x
  2. Step 2: Convert to fraction form
    1,247,922/1,784,592 = 1,784,592/x
  3. Step 3: Cross multiply
    1,247,922x = 1,784,592 × 1,784,592
  4. Step 4: Simplify right side
    1,247,922x = 3,184,768,606,464
  5. Step 5: Solve for x
    x = 3,184,768,606,464/1,247,922
  6. Step 6: Final answer
    x = 2,552,057.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.