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Finding the Third Proportional to 830,832 and 1,807,458

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Solution

The third proportional to 830,832 and 1,807,458 is: 3,932,087.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,832 : 1,807,458 = 1,807,458 : x
  2. Step 2: Convert to fraction form
    830,832/1,807,458 = 1,807,458/x
  3. Step 3: Cross multiply
    830,832x = 1,807,458 × 1,807,458
  4. Step 4: Simplify right side
    830,832x = 3,266,904,421,764
  5. Step 5: Solve for x
    x = 3,266,904,421,764/830,832
  6. Step 6: Final answer
    x = 3,932,087.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.