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Finding the Third Proportional to 464,383 and 948,444

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Solution

The third proportional to 464,383 and 948,444 is: 1,937,077.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,383 : 948,444 = 948,444 : x
  2. Step 2: Convert to fraction form
    464,383/948,444 = 948,444/x
  3. Step 3: Cross multiply
    464,383x = 948,444 × 948,444
  4. Step 4: Simplify right side
    464,383x = 899,546,021,136
  5. Step 5: Solve for x
    x = 899,546,021,136/464,383
  6. Step 6: Final answer
    x = 1,937,077.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.