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Finding the Third Proportional to 897,120 and 1,959,360

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Solution

The third proportional to 897,120 and 1,959,360 is: 4,279,351.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,120 : 1,959,360 = 1,959,360 : x
  2. Step 2: Convert to fraction form
    897,120/1,959,360 = 1,959,360/x
  3. Step 3: Cross multiply
    897,120x = 1,959,360 × 1,959,360
  4. Step 4: Simplify right side
    897,120x = 3,839,091,609,600
  5. Step 5: Solve for x
    x = 3,839,091,609,600/897,120
  6. Step 6: Final answer
    x = 4,279,351.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.