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Finding the Third Proportional to 581,622.69 and 1,278,056.47

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Solution

The third proportional to 581,622.69 and 1,278,056.47 is: 2,808,398.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,622.69 : 1,278,056.47 = 1,278,056.47 : x
  2. Step 2: Convert to fraction form
    581,622.69/1,278,056.47 = 1,278,056.47/x
  3. Step 3: Cross multiply
    581,622.69x = 1,278,056.47 × 1,278,056.47
  4. Step 4: Simplify right side
    581,622.69x = 1,633,428,337,313.72
  5. Step 5: Solve for x
    x = 1,633,428,337,313.72/581,622.69
  6. Step 6: Final answer
    x = 2,808,398.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.