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Finding the Third Proportional to 426,192 and 935,328

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Solution

The third proportional to 426,192 and 935,328 is: 2,052,686.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,192 : 935,328 = 935,328 : x
  2. Step 2: Convert to fraction form
    426,192/935,328 = 935,328/x
  3. Step 3: Cross multiply
    426,192x = 935,328 × 935,328
  4. Step 4: Simplify right side
    426,192x = 874,838,467,584
  5. Step 5: Solve for x
    x = 874,838,467,584/426,192
  6. Step 6: Final answer
    x = 2,052,686.27

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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.