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Finding the Third Proportional to 1,377,475 and 2,171,857

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Solution

The third proportional to 1,377,475 and 2,171,857 is: 3,424,354.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377,475 : 2,171,857 = 2,171,857 : x
  2. Step 2: Convert to fraction form
    1,377,475/2,171,857 = 2,171,857/x
  3. Step 3: Cross multiply
    1,377,475x = 2,171,857 × 2,171,857
  4. Step 4: Simplify right side
    1,377,475x = 4,716,962,828,449
  5. Step 5: Solve for x
    x = 4,716,962,828,449/1,377,475
  6. Step 6: Final answer
    x = 3,424,354.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.