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Finding the Third Proportional to 422,505,360 and 907,484,508

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Solution

The third proportional to 422,505,360 and 907,484,508 is: 1,949,154,283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,505,360 : 907,484,508 = 907,484,508 : x
  2. Step 2: Convert to fraction form
    422,505,360/907,484,508 = 907,484,508/x
  3. Step 3: Cross multiply
    422,505,360x = 907,484,508 × 907,484,508
  4. Step 4: Simplify right side
    422,505,360x = 823,528,132,260,002,048
  5. Step 5: Solve for x
    x = 823,528,132,260,002,048/422,505,360
  6. Step 6: Final answer
    x = 1,949,154,283.53

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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.