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Finding the Third Proportional to 810,116 and 1,772,800

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Solution

The third proportional to 810,116 and 1,772,800 is: 3,879,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,116 : 1,772,800 = 1,772,800 : x
  2. Step 2: Convert to fraction form
    810,116/1,772,800 = 1,772,800/x
  3. Step 3: Cross multiply
    810,116x = 1,772,800 × 1,772,800
  4. Step 4: Simplify right side
    810,116x = 3,142,819,840,000
  5. Step 5: Solve for x
    x = 3,142,819,840,000/810,116
  6. Step 6: Final answer
    x = 3,879,468.92

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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.