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Finding the Third Proportional to 2,581,643 and 5,611,054

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Solution

The third proportional to 2,581,643 and 5,611,054 is: 12,195,306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581,643 : 5,611,054 = 5,611,054 : x
  2. Step 2: Convert to fraction form
    2,581,643/5,611,054 = 5,611,054/x
  3. Step 3: Cross multiply
    2,581,643x = 5,611,054 × 5,611,054
  4. Step 4: Simplify right side
    2,581,643x = 31,483,926,990,916
  5. Step 5: Solve for x
    x = 31,483,926,990,916/2,581,643
  6. Step 6: Final answer
    x = 12,195,306.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.