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Finding the Third Proportional to 830,839 and 1,807,478

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Solution

The third proportional to 830,839 and 1,807,478 is: 3,932,141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,839 : 1,807,478 = 1,807,478 : x
  2. Step 2: Convert to fraction form
    830,839/1,807,478 = 1,807,478/x
  3. Step 3: Cross multiply
    830,839x = 1,807,478 × 1,807,478
  4. Step 4: Simplify right side
    830,839x = 3,266,976,720,484
  5. Step 5: Solve for x
    x = 3,266,976,720,484/830,839
  6. Step 6: Final answer
    x = 3,932,141.75

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