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Finding the Third Proportional to 656,783 and 1,414,884

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Solution

The third proportional to 656,783 and 1,414,884 is: 3,048,033.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,783 : 1,414,884 = 1,414,884 : x
  2. Step 2: Convert to fraction form
    656,783/1,414,884 = 1,414,884/x
  3. Step 3: Cross multiply
    656,783x = 1,414,884 × 1,414,884
  4. Step 4: Simplify right side
    656,783x = 2,001,896,733,456
  5. Step 5: Solve for x
    x = 2,001,896,733,456/656,783
  6. Step 6: Final answer
    x = 3,048,033.72

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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.