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Finding the Third Proportional to 642,096 and 1,518,468

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Solution

The third proportional to 642,096 and 1,518,468 is: 3,590,966.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,096 : 1,518,468 = 1,518,468 : x
  2. Step 2: Convert to fraction form
    642,096/1,518,468 = 1,518,468/x
  3. Step 3: Cross multiply
    642,096x = 1,518,468 × 1,518,468
  4. Step 4: Simplify right side
    642,096x = 2,305,745,067,024
  5. Step 5: Solve for x
    x = 2,305,745,067,024/642,096
  6. Step 6: Final answer
    x = 3,590,966.25

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.