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Finding the Third Proportional to 1,345,285.97 and 2,870,171.72

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Solution

The third proportional to 1,345,285.97 and 2,870,171.72 is: 6,123,520.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345,285.97 : 2,870,171.72 = 2,870,171.72 : x
  2. Step 2: Convert to fraction form
    1,345,285.97/2,870,171.72 = 2,870,171.72/x
  3. Step 3: Cross multiply
    1,345,285.97x = 2,870,171.72 × 2,870,171.72
  4. Step 4: Simplify right side
    1,345,285.97x = 8,237,885,695,112.33
  5. Step 5: Solve for x
    x = 8,237,885,695,112.33/1,345,285.97
  6. Step 6: Final answer
    x = 6,123,520.12

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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.