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Finding the Third Proportional to 379,094,644 and 582,437,022

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Solution

The third proportional to 379,094,644 and 582,437,022 is: 894,850,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,094,644 : 582,437,022 = 582,437,022 : x
  2. Step 2: Convert to fraction form
    379,094,644/582,437,022 = 582,437,022/x
  3. Step 3: Cross multiply
    379,094,644x = 582,437,022 × 582,437,022
  4. Step 4: Simplify right side
    379,094,644x = 339,232,884,596,228,480
  5. Step 5: Solve for x
    x = 339,232,884,596,228,480/379,094,644
  6. Step 6: Final answer
    x = 894,850,111.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.