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Finding the Third Proportional to 947,107.69 and 2,077,579.13

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Solution

The third proportional to 947,107.69 and 2,077,579.13 is: 4,557,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,107.69 : 2,077,579.13 = 2,077,579.13 : x
  2. Step 2: Convert to fraction form
    947,107.69/2,077,579.13 = 2,077,579.13/x
  3. Step 3: Cross multiply
    947,107.69x = 2,077,579.13 × 2,077,579.13
  4. Step 4: Simplify right side
    947,107.69x = 4,316,335,020,635.77
  5. Step 5: Solve for x
    x = 4,316,335,020,635.77/947,107.69
  6. Step 6: Final answer
    x = 4,557,385.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.