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Finding the Third Proportional to 602,278 and 1,189,324

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Solution

The third proportional to 602,278 and 1,189,324 is: 2,348,569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,278 : 1,189,324 = 1,189,324 : x
  2. Step 2: Convert to fraction form
    602,278/1,189,324 = 1,189,324/x
  3. Step 3: Cross multiply
    602,278x = 1,189,324 × 1,189,324
  4. Step 4: Simplify right side
    602,278x = 1,414,491,576,976
  5. Step 5: Solve for x
    x = 1,414,491,576,976/602,278
  6. Step 6: Final answer
    x = 2,348,569.23

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.