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Finding the Third Proportional to 647,244 and 1,376,136

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Solution

The third proportional to 647,244 and 1,376,136 is: 2,925,867.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,244 : 1,376,136 = 1,376,136 : x
  2. Step 2: Convert to fraction form
    647,244/1,376,136 = 1,376,136/x
  3. Step 3: Cross multiply
    647,244x = 1,376,136 × 1,376,136
  4. Step 4: Simplify right side
    647,244x = 1,893,750,290,496
  5. Step 5: Solve for x
    x = 1,893,750,290,496/647,244
  6. Step 6: Final answer
    x = 2,925,867.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.