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Finding the Third Proportional to 2,755,468 and 5,838,728

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Solution

The third proportional to 2,755,468 and 5,838,728 is: 12,372,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755,468 : 5,838,728 = 5,838,728 : x
  2. Step 2: Convert to fraction form
    2,755,468/5,838,728 = 5,838,728/x
  3. Step 3: Cross multiply
    2,755,468x = 5,838,728 × 5,838,728
  4. Step 4: Simplify right side
    2,755,468x = 34,090,744,657,984
  5. Step 5: Solve for x
    x = 34,090,744,657,984/2,755,468
  6. Step 6: Final answer
    x = 12,372,034.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.