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Finding the Third Proportional to 649,566 and 1,417,176

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Solution

The third proportional to 649,566 and 1,417,176 is: 3,091,891.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,566 : 1,417,176 = 1,417,176 : x
  2. Step 2: Convert to fraction form
    649,566/1,417,176 = 1,417,176/x
  3. Step 3: Cross multiply
    649,566x = 1,417,176 × 1,417,176
  4. Step 4: Simplify right side
    649,566x = 2,008,387,814,976
  5. Step 5: Solve for x
    x = 2,008,387,814,976/649,566
  6. Step 6: Final answer
    x = 3,091,891.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.