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Finding the Third Proportional to 866,640 and 1,932,438

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Solution

The third proportional to 866,640 and 1,932,438 is: 4,308,959.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,640 : 1,932,438 = 1,932,438 : x
  2. Step 2: Convert to fraction form
    866,640/1,932,438 = 1,932,438/x
  3. Step 3: Cross multiply
    866,640x = 1,932,438 × 1,932,438
  4. Step 4: Simplify right side
    866,640x = 3,734,316,623,844
  5. Step 5: Solve for x
    x = 3,734,316,623,844/866,640
  6. Step 6: Final answer
    x = 4,308,959.46

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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.