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Finding the Third Proportional to 2,523,312 and 5,606,496

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Solution

The third proportional to 2,523,312 and 5,606,496 is: 12,456,960.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523,312 : 5,606,496 = 5,606,496 : x
  2. Step 2: Convert to fraction form
    2,523,312/5,606,496 = 5,606,496/x
  3. Step 3: Cross multiply
    2,523,312x = 5,606,496 × 5,606,496
  4. Step 4: Simplify right side
    2,523,312x = 31,432,797,398,016
  5. Step 5: Solve for x
    x = 31,432,797,398,016/2,523,312
  6. Step 6: Final answer
    x = 12,456,960.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.