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Finding the Third Proportional to 669,898 and 1,456,148

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Solution

The third proportional to 669,898 and 1,456,148 is: 3,165,208.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,898 : 1,456,148 = 1,456,148 : x
  2. Step 2: Convert to fraction form
    669,898/1,456,148 = 1,456,148/x
  3. Step 3: Cross multiply
    669,898x = 1,456,148 × 1,456,148
  4. Step 4: Simplify right side
    669,898x = 2,120,366,997,904
  5. Step 5: Solve for x
    x = 2,120,366,997,904/669,898
  6. Step 6: Final answer
    x = 3,165,208.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.