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Finding the Third Proportional to 438,486.75 and 946,917

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Solution

The third proportional to 438,486.75 and 946,917 is: 2,044,877.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,486.75 : 946,917 = 946,917 : x
  2. Step 2: Convert to fraction form
    438,486.75/946,917 = 946,917/x
  3. Step 3: Cross multiply
    438,486.75x = 946,917 × 946,917
  4. Step 4: Simplify right side
    438,486.75x = 896,651,804,889
  5. Step 5: Solve for x
    x = 896,651,804,889/438,486.75
  6. Step 6: Final answer
    x = 2,044,877.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.