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Finding the Third Proportional to 870,876 and 1,319,440

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Solution

The third proportional to 870,876 and 1,319,440 is: 1,999,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,876 : 1,319,440 = 1,319,440 : x
  2. Step 2: Convert to fraction form
    870,876/1,319,440 = 1,319,440/x
  3. Step 3: Cross multiply
    870,876x = 1,319,440 × 1,319,440
  4. Step 4: Simplify right side
    870,876x = 1,740,921,913,600
  5. Step 5: Solve for x
    x = 1,740,921,913,600/870,876
  6. Step 6: Final answer
    x = 1,999,046.84

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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.