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Finding the Third Proportional to 683,564.63 and 1,472,311.13

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Solution

The third proportional to 683,564.63 and 1,472,311.13 is: 3,171,170.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,564.63 : 1,472,311.13 = 1,472,311.13 : x
  2. Step 2: Convert to fraction form
    683,564.63/1,472,311.13 = 1,472,311.13/x
  3. Step 3: Cross multiply
    683,564.63x = 1,472,311.13 × 1,472,311.13
  4. Step 4: Simplify right side
    683,564.63x = 2,167,700,048,798.77
  5. Step 5: Solve for x
    x = 2,167,700,048,798.77/683,564.63
  6. Step 6: Final answer
    x = 3,171,170.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.