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Finding the Third Proportional to 401,478,784 and 613,757,464

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Solution

The third proportional to 401,478,784 and 613,757,464 is: 938,276,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,478,784 : 613,757,464 = 613,757,464 : x
  2. Step 2: Convert to fraction form
    401,478,784/613,757,464 = 613,757,464/x
  3. Step 3: Cross multiply
    401,478,784x = 613,757,464 × 613,757,464
  4. Step 4: Simplify right side
    401,478,784x = 376,698,224,615,711,296
  5. Step 5: Solve for x
    x = 376,698,224,615,711,296/401,478,784
  6. Step 6: Final answer
    x = 938,276,789.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.