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Finding the Third Proportional to 459,395,571 and 706,123,983

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Solution

The third proportional to 459,395,571 and 706,123,983 is: 1,085,363,270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,395,571 : 706,123,983 = 706,123,983 : x
  2. Step 2: Convert to fraction form
    459,395,571/706,123,983 = 706,123,983/x
  3. Step 3: Cross multiply
    459,395,571x = 706,123,983 × 706,123,983
  4. Step 4: Simplify right side
    459,395,571x = 498,611,079,367,784,320
  5. Step 5: Solve for x
    x = 498,611,079,367,784,320/459,395,571
  6. Step 6: Final answer
    x = 1,085,363,270.44

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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.