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Finding the Third Proportional to 2,005,208.25 and 4,175,654.25

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Solution

The third proportional to 2,005,208.25 and 4,175,654.25 is: 8,695,400.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,208.25 : 4,175,654.25 = 4,175,654.25 : x
  2. Step 2: Convert to fraction form
    2,005,208.25/4,175,654.25 = 4,175,654.25/x
  3. Step 3: Cross multiply
    2,005,208.25x = 4,175,654.25 × 4,175,654.25
  4. Step 4: Simplify right side
    2,005,208.25x = 17,436,088,415,543.06
  5. Step 5: Solve for x
    x = 17,436,088,415,543.06/2,005,208.25
  6. Step 6: Final answer
    x = 8,695,400.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.