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Finding the Third Proportional to 4,611,772 and 6,932,424

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Solution

The third proportional to 4,611,772 and 6,932,424 is: 10,420,832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611,772 : 6,932,424 = 6,932,424 : x
  2. Step 2: Convert to fraction form
    4,611,772/6,932,424 = 6,932,424/x
  3. Step 3: Cross multiply
    4,611,772x = 6,932,424 × 6,932,424
  4. Step 4: Simplify right side
    4,611,772x = 48,058,502,515,776
  5. Step 5: Solve for x
    x = 48,058,502,515,776/4,611,772
  6. Step 6: Final answer
    x = 10,420,832.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.