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Finding the Third Proportional to 1,622,358 and 3,755,641

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Solution

The third proportional to 1,622,358 and 3,755,641 is: 8,694,036.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622,358 : 3,755,641 = 3,755,641 : x
  2. Step 2: Convert to fraction form
    1,622,358/3,755,641 = 3,755,641/x
  3. Step 3: Cross multiply
    1,622,358x = 3,755,641 × 3,755,641
  4. Step 4: Simplify right side
    1,622,358x = 14,104,839,320,881
  5. Step 5: Solve for x
    x = 14,104,839,320,881/1,622,358
  6. Step 6: Final answer
    x = 8,694,036.29

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.