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Finding the Third Proportional to 702,392 and 1,517,096

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Solution

The third proportional to 702,392 and 1,517,096 is: 3,276,774.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,392 : 1,517,096 = 1,517,096 : x
  2. Step 2: Convert to fraction form
    702,392/1,517,096 = 1,517,096/x
  3. Step 3: Cross multiply
    702,392x = 1,517,096 × 1,517,096
  4. Step 4: Simplify right side
    702,392x = 2,301,580,273,216
  5. Step 5: Solve for x
    x = 2,301,580,273,216/702,392
  6. Step 6: Final answer
    x = 3,276,774.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.