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Finding the Third Proportional to 1,186,524 and 2,457,163

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Solution

The third proportional to 1,186,524 and 2,457,163 is: 5,088,519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186,524 : 2,457,163 = 2,457,163 : x
  2. Step 2: Convert to fraction form
    1,186,524/2,457,163 = 2,457,163/x
  3. Step 3: Cross multiply
    1,186,524x = 2,457,163 × 2,457,163
  4. Step 4: Simplify right side
    1,186,524x = 6,037,650,008,569
  5. Step 5: Solve for x
    x = 6,037,650,008,569/1,186,524
  6. Step 6: Final answer
    x = 5,088,519.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.