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Finding the Third Proportional to 401,004,144 and 638,076,409.88

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Solution

The third proportional to 401,004,144 and 638,076,409.88 is: 1,015,304,981.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,004,144 : 638,076,409.88 = 638,076,409.88 : x
  2. Step 2: Convert to fraction form
    401,004,144/638,076,409.88 = 638,076,409.88/x
  3. Step 3: Cross multiply
    401,004,144x = 638,076,409.88 × 638,076,409.88
  4. Step 4: Simplify right side
    401,004,144x = 407,141,504,838,969,024
  5. Step 5: Solve for x
    x = 407,141,504,838,969,024/401,004,144
  6. Step 6: Final answer
    x = 1,015,304,981.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.