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Finding the Third Proportional to 459,396,621 and 706,125,512.25

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Solution

The third proportional to 459,396,621 and 706,125,512.25 is: 1,085,365,490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,396,621 : 706,125,512.25 = 706,125,512.25 : x
  2. Step 2: Convert to fraction form
    459,396,621/706,125,512.25 = 706,125,512.25/x
  3. Step 3: Cross multiply
    459,396,621x = 706,125,512.25 × 706,125,512.25
  4. Step 4: Simplify right side
    459,396,621x = 498,613,239,050,324,928
  5. Step 5: Solve for x
    x = 498,613,239,050,324,928/459,396,621
  6. Step 6: Final answer
    x = 1,085,365,490.86

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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.