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Finding the Third Proportional to 2,457,523.50 and 3,686,286

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Solution

The third proportional to 2,457,523.50 and 3,686,286 is: 5,529,430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,523.50 : 3,686,286 = 3,686,286 : x
  2. Step 2: Convert to fraction form
    2,457,523.50/3,686,286 = 3,686,286/x
  3. Step 3: Cross multiply
    2,457,523.50x = 3,686,286 × 3,686,286
  4. Step 4: Simplify right side
    2,457,523.50x = 13,588,704,473,796
  5. Step 5: Solve for x
    x = 13,588,704,473,796/2,457,523.50
  6. Step 6: Final answer
    x = 5,529,430.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.