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Finding the Third Proportional to 3,674,662.50 and 5,407,017

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Solution

The third proportional to 3,674,662.50 and 5,407,017 is: 7,956,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674,662.50 : 5,407,017 = 5,407,017 : x
  2. Step 2: Convert to fraction form
    3,674,662.50/5,407,017 = 5,407,017/x
  3. Step 3: Cross multiply
    3,674,662.50x = 5,407,017 × 5,407,017
  4. Step 4: Simplify right side
    3,674,662.50x = 29,235,832,838,289
  5. Step 5: Solve for x
    x = 29,235,832,838,289/3,674,662.50
  6. Step 6: Final answer
    x = 7,956,059.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.