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Finding the Third Proportional to 830,444 and 1,798,625

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Solution

The third proportional to 830,444 and 1,798,625 is: 3,895,568.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,444 : 1,798,625 = 1,798,625 : x
  2. Step 2: Convert to fraction form
    830,444/1,798,625 = 1,798,625/x
  3. Step 3: Cross multiply
    830,444x = 1,798,625 × 1,798,625
  4. Step 4: Simplify right side
    830,444x = 3,235,051,890,625
  5. Step 5: Solve for x
    x = 3,235,051,890,625/830,444
  6. Step 6: Final answer
    x = 3,895,568.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.