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Finding the Third Proportional to 459,392,832 and 706,120,002

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Solution

The third proportional to 459,392,832 and 706,120,002 is: 1,085,357,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,392,832 : 706,120,002 = 706,120,002 : x
  2. Step 2: Convert to fraction form
    459,392,832/706,120,002 = 706,120,002/x
  3. Step 3: Cross multiply
    459,392,832x = 706,120,002 × 706,120,002
  4. Step 4: Simplify right side
    459,392,832x = 498,605,457,224,480,000
  5. Step 5: Solve for x
    x = 498,605,457,224,480,000/459,392,832
  6. Step 6: Final answer
    x = 1,085,357,503.41

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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.