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Finding the Third Proportional to 658,728 and 1,417,356

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Solution

The third proportional to 658,728 and 1,417,356 is: 3,049,662.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,728 : 1,417,356 = 1,417,356 : x
  2. Step 2: Convert to fraction form
    658,728/1,417,356 = 1,417,356/x
  3. Step 3: Cross multiply
    658,728x = 1,417,356 × 1,417,356
  4. Step 4: Simplify right side
    658,728x = 2,008,898,030,736
  5. Step 5: Solve for x
    x = 2,008,898,030,736/658,728
  6. Step 6: Final answer
    x = 3,049,662.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.