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Finding the Third Proportional to 2,096,586 and 4,492,332

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Solution

The third proportional to 2,096,586 and 4,492,332 is: 9,625,670.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,586 : 4,492,332 = 4,492,332 : x
  2. Step 2: Convert to fraction form
    2,096,586/4,492,332 = 4,492,332/x
  3. Step 3: Cross multiply
    2,096,586x = 4,492,332 × 4,492,332
  4. Step 4: Simplify right side
    2,096,586x = 20,181,046,798,224
  5. Step 5: Solve for x
    x = 20,181,046,798,224/2,096,586
  6. Step 6: Final answer
    x = 9,625,670.88

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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.