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Finding the Third Proportional to 656,820 and 1,414,930

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Solution

The third proportional to 656,820 and 1,414,930 is: 3,048,060.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,820 : 1,414,930 = 1,414,930 : x
  2. Step 2: Convert to fraction form
    656,820/1,414,930 = 1,414,930/x
  3. Step 3: Cross multiply
    656,820x = 1,414,930 × 1,414,930
  4. Step 4: Simplify right side
    656,820x = 2,002,026,904,900
  5. Step 5: Solve for x
    x = 2,002,026,904,900/656,820
  6. Step 6: Final answer
    x = 3,048,060.21

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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.