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Finding the Third Proportional to 2,492,533 and 5,422,465

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Solution

The third proportional to 2,492,533 and 5,422,465 is: 11,796,484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492,533 : 5,422,465 = 5,422,465 : x
  2. Step 2: Convert to fraction form
    2,492,533/5,422,465 = 5,422,465/x
  3. Step 3: Cross multiply
    2,492,533x = 5,422,465 × 5,422,465
  4. Step 4: Simplify right side
    2,492,533x = 29,403,126,676,225
  5. Step 5: Solve for x
    x = 29,403,126,676,225/2,492,533
  6. Step 6: Final answer
    x = 11,796,484.41

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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.