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Finding the Third Proportional to 830,404 and 1,815,900

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Solution

The third proportional to 830,404 and 1,815,900 is: 3,970,950.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,404 : 1,815,900 = 1,815,900 : x
  2. Step 2: Convert to fraction form
    830,404/1,815,900 = 1,815,900/x
  3. Step 3: Cross multiply
    830,404x = 1,815,900 × 1,815,900
  4. Step 4: Simplify right side
    830,404x = 3,297,492,810,000
  5. Step 5: Solve for x
    x = 3,297,492,810,000/830,404
  6. Step 6: Final answer
    x = 3,970,950.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.