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Finding the Third Proportional to 870,464.25 and 1,918,077.75

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Solution

The third proportional to 870,464.25 and 1,918,077.75 is: 4,226,505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,464.25 : 1,918,077.75 = 1,918,077.75 : x
  2. Step 2: Convert to fraction form
    870,464.25/1,918,077.75 = 1,918,077.75/x
  3. Step 3: Cross multiply
    870,464.25x = 1,918,077.75 × 1,918,077.75
  4. Step 4: Simplify right side
    870,464.25x = 3,679,022,255,045.06
  5. Step 5: Solve for x
    x = 3,679,022,255,045.06/870,464.25
  6. Step 6: Final answer
    x = 4,226,505.86

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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.