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Finding the Third Proportional to 870,831 and 1,319,368.50

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Solution

The third proportional to 870,831 and 1,319,368.50 is: 1,998,933.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,831 : 1,319,368.50 = 1,319,368.50 : x
  2. Step 2: Convert to fraction form
    870,831/1,319,368.50 = 1,319,368.50/x
  3. Step 3: Cross multiply
    870,831x = 1,319,368.50 × 1,319,368.50
  4. Step 4: Simplify right side
    870,831x = 1,740,733,238,792.25
  5. Step 5: Solve for x
    x = 1,740,733,238,792.25/870,831
  6. Step 6: Final answer
    x = 1,998,933.48

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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.