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Finding the Third Proportional to 870,762 and 1,319,268

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Solution

The third proportional to 870,762 and 1,319,268 is: 1,998,787.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,762 : 1,319,268 = 1,319,268 : x
  2. Step 2: Convert to fraction form
    870,762/1,319,268 = 1,319,268/x
  3. Step 3: Cross multiply
    870,762x = 1,319,268 × 1,319,268
  4. Step 4: Simplify right side
    870,762x = 1,740,468,055,824
  5. Step 5: Solve for x
    x = 1,740,468,055,824/870,762
  6. Step 6: Final answer
    x = 1,998,787.33

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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.