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Finding the Third Proportional to 2,948,784 and 6,431,136

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Solution

The third proportional to 2,948,784 and 6,431,136 is: 14,025,954.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948,784 : 6,431,136 = 6,431,136 : x
  2. Step 2: Convert to fraction form
    2,948,784/6,431,136 = 6,431,136/x
  3. Step 3: Cross multiply
    2,948,784x = 6,431,136 × 6,431,136
  4. Step 4: Simplify right side
    2,948,784x = 41,359,510,250,496
  5. Step 5: Solve for x
    x = 41,359,510,250,496/2,948,784
  6. Step 6: Final answer
    x = 14,025,954.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.