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Finding the Third Proportional to 409,554 and 882,324

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Solution

The third proportional to 409,554 and 882,324 is: 1,900,837.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,554 : 882,324 = 882,324 : x
  2. Step 2: Convert to fraction form
    409,554/882,324 = 882,324/x
  3. Step 3: Cross multiply
    409,554x = 882,324 × 882,324
  4. Step 4: Simplify right side
    409,554x = 778,495,640,976
  5. Step 5: Solve for x
    x = 778,495,640,976/409,554
  6. Step 6: Final answer
    x = 1,900,837.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.