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Finding the Third Proportional to 459,396,078 and 706,124,832

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Solution

The third proportional to 459,396,078 and 706,124,832 is: 1,085,364,682.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,396,078 : 706,124,832 = 706,124,832 : x
  2. Step 2: Convert to fraction form
    459,396,078/706,124,832 = 706,124,832/x
  3. Step 3: Cross multiply
    459,396,078x = 706,124,832 × 706,124,832
  4. Step 4: Simplify right side
    459,396,078x = 498,612,278,367,028,224
  5. Step 5: Solve for x
    x = 498,612,278,367,028,224/459,396,078
  6. Step 6: Final answer
    x = 1,085,364,682.56

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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.