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Finding the Third Proportional to 459,396,619 and 706,125,509

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Solution

The third proportional to 459,396,619 and 706,125,509 is: 1,085,365,485.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,396,619 : 706,125,509 = 706,125,509 : x
  2. Step 2: Convert to fraction form
    459,396,619/706,125,509 = 706,125,509/x
  3. Step 3: Cross multiply
    459,396,619x = 706,125,509 × 706,125,509
  4. Step 4: Simplify right side
    459,396,619x = 498,613,234,460,509,056
  5. Step 5: Solve for x
    x = 498,613,234,460,509,056/459,396,619
  6. Step 6: Final answer
    x = 1,085,365,485.59

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.