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Finding the Third Proportional to 2,857,064 and 4,322,460

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Solution

The third proportional to 2,857,064 and 4,322,460 is: 6,539,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,064 : 4,322,460 = 4,322,460 : x
  2. Step 2: Convert to fraction form
    2,857,064/4,322,460 = 4,322,460/x
  3. Step 3: Cross multiply
    2,857,064x = 4,322,460 × 4,322,460
  4. Step 4: Simplify right side
    2,857,064x = 18,683,660,451,600
  5. Step 5: Solve for x
    x = 18,683,660,451,600/2,857,064
  6. Step 6: Final answer
    x = 6,539,461.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.