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Finding the Third Proportional to 419,185.13 and 904,770

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Solution

The third proportional to 419,185.13 and 904,770 is: 1,952,857.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,185.13 : 904,770 = 904,770 : x
  2. Step 2: Convert to fraction form
    419,185.13/904,770 = 904,770/x
  3. Step 3: Cross multiply
    419,185.13x = 904,770 × 904,770
  4. Step 4: Simplify right side
    419,185.13x = 818,608,752,900
  5. Step 5: Solve for x
    x = 818,608,752,900/419,185.13
  6. Step 6: Final answer
    x = 1,952,857.35

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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.