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Finding the Third Proportional to 409,644 and 891,096

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Solution

The third proportional to 409,644 and 891,096 is: 1,938,395.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,644 : 891,096 = 891,096 : x
  2. Step 2: Convert to fraction form
    409,644/891,096 = 891,096/x
  3. Step 3: Cross multiply
    409,644x = 891,096 × 891,096
  4. Step 4: Simplify right side
    409,644x = 794,052,081,216
  5. Step 5: Solve for x
    x = 794,052,081,216/409,644
  6. Step 6: Final answer
    x = 1,938,395.49

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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.