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Finding the Third Proportional to 897,320 and 1,379,232

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Solution

The third proportional to 897,320 and 1,379,232 is: 2,119,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,320 : 1,379,232 = 1,379,232 : x
  2. Step 2: Convert to fraction form
    897,320/1,379,232 = 1,379,232/x
  3. Step 3: Cross multiply
    897,320x = 1,379,232 × 1,379,232
  4. Step 4: Simplify right side
    897,320x = 1,902,280,909,824
  5. Step 5: Solve for x
    x = 1,902,280,909,824/897,320
  6. Step 6: Final answer
    x = 2,119,958.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.