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Finding the Third Proportional to 891,648 and 1,982,160

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Solution

The third proportional to 891,648 and 1,982,160 is: 4,406,400.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,648 : 1,982,160 = 1,982,160 : x
  2. Step 2: Convert to fraction form
    891,648/1,982,160 = 1,982,160/x
  3. Step 3: Cross multiply
    891,648x = 1,982,160 × 1,982,160
  4. Step 4: Simplify right side
    891,648x = 3,928,958,265,600
  5. Step 5: Solve for x
    x = 3,928,958,265,600/891,648
  6. Step 6: Final answer
    x = 4,406,400.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.