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Finding the Third Proportional to 810,232 and 1,769,955

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Solution

The third proportional to 810,232 and 1,769,955 is: 3,866,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,232 : 1,769,955 = 1,769,955 : x
  2. Step 2: Convert to fraction form
    810,232/1,769,955 = 1,769,955/x
  3. Step 3: Cross multiply
    810,232x = 1,769,955 × 1,769,955
  4. Step 4: Simplify right side
    810,232x = 3,132,740,702,025
  5. Step 5: Solve for x
    x = 3,132,740,702,025/810,232
  6. Step 6: Final answer
    x = 3,866,473.68

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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.