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Finding the Third Proportional to 428,892,320 and 936,438,276

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Solution

The third proportional to 428,892,320 and 936,438,276 is: 2,044,607,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,892,320 : 936,438,276 = 936,438,276 : x
  2. Step 2: Convert to fraction form
    428,892,320/936,438,276 = 936,438,276/x
  3. Step 3: Cross multiply
    428,892,320x = 936,438,276 × 936,438,276
  4. Step 4: Simplify right side
    428,892,320x = 876,916,644,757,852,160
  5. Step 5: Solve for x
    x = 876,916,644,757,852,160/428,892,320
  6. Step 6: Final answer
    x = 2,044,607,944.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.