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Finding the Third Proportional to 551,437 and 1,214,616

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Solution

The third proportional to 551,437 and 1,214,616 is: 2,675,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,437 : 1,214,616 = 1,214,616 : x
  2. Step 2: Convert to fraction form
    551,437/1,214,616 = 1,214,616/x
  3. Step 3: Cross multiply
    551,437x = 1,214,616 × 1,214,616
  4. Step 4: Simplify right side
    551,437x = 1,475,292,027,456
  5. Step 5: Solve for x
    x = 1,475,292,027,456/551,437
  6. Step 6: Final answer
    x = 2,675,359.16

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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.