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Finding the Third Proportional to 870,854 and 1,319,406

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Solution

The third proportional to 870,854 and 1,319,406 is: 1,998,994.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,854 : 1,319,406 = 1,319,406 : x
  2. Step 2: Convert to fraction form
    870,854/1,319,406 = 1,319,406/x
  3. Step 3: Cross multiply
    870,854x = 1,319,406 × 1,319,406
  4. Step 4: Simplify right side
    870,854x = 1,740,832,192,836
  5. Step 5: Solve for x
    x = 1,740,832,192,836/870,854
  6. Step 6: Final answer
    x = 1,998,994.31

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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.