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Finding the Third Proportional to 635,967 and 1,371,641

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Solution

The third proportional to 635,967 and 1,371,641 is: 2,958,328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,967 : 1,371,641 = 1,371,641 : x
  2. Step 2: Convert to fraction form
    635,967/1,371,641 = 1,371,641/x
  3. Step 3: Cross multiply
    635,967x = 1,371,641 × 1,371,641
  4. Step 4: Simplify right side
    635,967x = 1,881,399,032,881
  5. Step 5: Solve for x
    x = 1,881,399,032,881/635,967
  6. Step 6: Final answer
    x = 2,958,328.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.