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Finding the Third Proportional to 551,455 and 1,214,651

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Solution

The third proportional to 551,455 and 1,214,651 is: 2,675,426.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,455 : 1,214,651 = 1,214,651 : x
  2. Step 2: Convert to fraction form
    551,455/1,214,651 = 1,214,651/x
  3. Step 3: Cross multiply
    551,455x = 1,214,651 × 1,214,651
  4. Step 4: Simplify right side
    551,455x = 1,475,377,051,801
  5. Step 5: Solve for x
    x = 1,475,377,051,801/551,455
  6. Step 6: Final answer
    x = 2,675,426.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.