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Finding the Third Proportional to 870,867 and 1,319,427

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Solution

The third proportional to 870,867 and 1,319,427 is: 1,999,028.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,867 : 1,319,427 = 1,319,427 : x
  2. Step 2: Convert to fraction form
    870,867/1,319,427 = 1,319,427/x
  3. Step 3: Cross multiply
    870,867x = 1,319,427 × 1,319,427
  4. Step 4: Simplify right side
    870,867x = 1,740,887,608,329
  5. Step 5: Solve for x
    x = 1,740,887,608,329/870,867
  6. Step 6: Final answer
    x = 1,999,028.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.