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Finding the Third Proportional to 870,825.38 and 1,345,066.88

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Solution

The third proportional to 870,825.38 and 1,345,066.88 is: 2,077,574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,825.38 : 1,345,066.88 = 1,345,066.88 : x
  2. Step 2: Convert to fraction form
    870,825.38/1,345,066.88 = 1,345,066.88/x
  3. Step 3: Cross multiply
    870,825.38x = 1,345,066.88 × 1,345,066.88
  4. Step 4: Simplify right side
    870,825.38x = 1,809,204,898,222.27
  5. Step 5: Solve for x
    x = 1,809,204,898,222.27/870,825.38
  6. Step 6: Final answer
    x = 2,077,574.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.