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Finding the Third Proportional to 870,832 and 1,319,385

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Solution

The third proportional to 870,832 and 1,319,385 is: 1,998,981.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,832 : 1,319,385 = 1,319,385 : x
  2. Step 2: Convert to fraction form
    870,832/1,319,385 = 1,319,385/x
  3. Step 3: Cross multiply
    870,832x = 1,319,385 × 1,319,385
  4. Step 4: Simplify right side
    870,832x = 1,740,776,778,225
  5. Step 5: Solve for x
    x = 1,740,776,778,225/870,832
  6. Step 6: Final answer
    x = 1,998,981.18

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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.