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Finding the Third Proportional to 2,096,516.25 and 4,492,017

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Solution

The third proportional to 2,096,516.25 and 4,492,017 is: 9,624,641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,516.25 : 4,492,017 = 4,492,017 : x
  2. Step 2: Convert to fraction form
    2,096,516.25/4,492,017 = 4,492,017/x
  3. Step 3: Cross multiply
    2,096,516.25x = 4,492,017 × 4,492,017
  4. Step 4: Simplify right side
    2,096,516.25x = 20,178,216,728,289
  5. Step 5: Solve for x
    x = 20,178,216,728,289/2,096,516.25
  6. Step 6: Final answer
    x = 9,624,641.22

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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.