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Finding the Third Proportional to 830,842 and 1,807,483

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Solution

The third proportional to 830,842 and 1,807,483 is: 3,932,149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,842 : 1,807,483 = 1,807,483 : x
  2. Step 2: Convert to fraction form
    830,842/1,807,483 = 1,807,483/x
  3. Step 3: Cross multiply
    830,842x = 1,807,483 × 1,807,483
  4. Step 4: Simplify right side
    830,842x = 3,266,994,795,289
  5. Step 5: Solve for x
    x = 3,266,994,795,289/830,842
  6. Step 6: Final answer
    x = 3,932,149.31

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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.