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Finding the Third Proportional to 411,408 and 899,712

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Solution

The third proportional to 411,408 and 899,712 is: 1,967,588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,408 : 899,712 = 899,712 : x
  2. Step 2: Convert to fraction form
    411,408/899,712 = 899,712/x
  3. Step 3: Cross multiply
    411,408x = 899,712 × 899,712
  4. Step 4: Simplify right side
    411,408x = 809,481,682,944
  5. Step 5: Solve for x
    x = 809,481,682,944/411,408
  6. Step 6: Final answer
    x = 1,967,588.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.