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Finding the Third Proportional to 2,924,906 and 6,521,974

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Solution

The third proportional to 2,924,906 and 6,521,974 is: 14,542,739.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924,906 : 6,521,974 = 6,521,974 : x
  2. Step 2: Convert to fraction form
    2,924,906/6,521,974 = 6,521,974/x
  3. Step 3: Cross multiply
    2,924,906x = 6,521,974 × 6,521,974
  4. Step 4: Simplify right side
    2,924,906x = 42,536,144,856,676
  5. Step 5: Solve for x
    x = 42,536,144,856,676/2,924,906
  6. Step 6: Final answer
    x = 14,542,739.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.