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Finding the Third Proportional to 866,437 and 1,932,097

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Solution

The third proportional to 866,437 and 1,932,097 is: 4,308,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,437 : 1,932,097 = 1,932,097 : x
  2. Step 2: Convert to fraction form
    866,437/1,932,097 = 1,932,097/x
  3. Step 3: Cross multiply
    866,437x = 1,932,097 × 1,932,097
  4. Step 4: Simplify right side
    866,437x = 3,732,998,817,409
  5. Step 5: Solve for x
    x = 3,732,998,817,409/866,437
  6. Step 6: Final answer
    x = 4,308,448.07

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.