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Finding the Third Proportional to 422,505,362 and 907,484,512

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Solution

The third proportional to 422,505,362 and 907,484,512 is: 1,949,154,291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,505,362 : 907,484,512 = 907,484,512 : x
  2. Step 2: Convert to fraction form
    422,505,362/907,484,512 = 907,484,512/x
  3. Step 3: Cross multiply
    422,505,362x = 907,484,512 × 907,484,512
  4. Step 4: Simplify right side
    422,505,362x = 823,528,139,519,878,144
  5. Step 5: Solve for x
    x = 823,528,139,519,878,144/422,505,362
  6. Step 6: Final answer
    x = 1,949,154,291.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.