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Finding the Third Proportional to 1,165,224 and 2,492,358

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Solution

The third proportional to 1,165,224 and 2,492,358 is: 5,331,033.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,224 : 2,492,358 = 2,492,358 : x
  2. Step 2: Convert to fraction form
    1,165,224/2,492,358 = 2,492,358/x
  3. Step 3: Cross multiply
    1,165,224x = 2,492,358 × 2,492,358
  4. Step 4: Simplify right side
    1,165,224x = 6,211,848,400,164
  5. Step 5: Solve for x
    x = 6,211,848,400,164/1,165,224
  6. Step 6: Final answer
    x = 5,331,033.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.