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Finding the Third Proportional to 870,810 and 1,345,051

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Solution

The third proportional to 870,810 and 1,345,051 is: 2,077,562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,810 : 1,345,051 = 1,345,051 : x
  2. Step 2: Convert to fraction form
    870,810/1,345,051 = 1,345,051/x
  3. Step 3: Cross multiply
    870,810x = 1,345,051 × 1,345,051
  4. Step 4: Simplify right side
    870,810x = 1,809,162,192,601
  5. Step 5: Solve for x
    x = 1,809,162,192,601/870,810
  6. Step 6: Final answer
    x = 2,077,562.49

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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.