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Finding the Third Proportional to 1,369,848 and 2,973,126

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Solution

The third proportional to 1,369,848 and 2,973,126 is: 6,452,889.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369,848 : 2,973,126 = 2,973,126 : x
  2. Step 2: Convert to fraction form
    1,369,848/2,973,126 = 2,973,126/x
  3. Step 3: Cross multiply
    1,369,848x = 2,973,126 × 2,973,126
  4. Step 4: Simplify right side
    1,369,848x = 8,839,478,211,876
  5. Step 5: Solve for x
    x = 8,839,478,211,876/1,369,848
  6. Step 6: Final answer
    x = 6,452,889.82

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Why These Related Problems?

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