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Finding the Third Proportional to 586,814.63 and 1,251,138.66

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Solution

The third proportional to 586,814.63 and 1,251,138.66 is: 2,667,533.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,814.63 : 1,251,138.66 = 1,251,138.66 : x
  2. Step 2: Convert to fraction form
    586,814.63/1,251,138.66 = 1,251,138.66/x
  3. Step 3: Cross multiply
    586,814.63x = 1,251,138.66 × 1,251,138.66
  4. Step 4: Simplify right side
    586,814.63x = 1,565,347,937,163.06
  5. Step 5: Solve for x
    x = 1,565,347,937,163.06/586,814.63
  6. Step 6: Final answer
    x = 2,667,533.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.