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Finding the Third Proportional to 430,037,922 and 664,067,478

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Solution

The third proportional to 430,037,922 and 664,067,478 is: 1,025,457,506.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,037,922 : 664,067,478 = 664,067,478 : x
  2. Step 2: Convert to fraction form
    430,037,922/664,067,478 = 664,067,478/x
  3. Step 3: Cross multiply
    430,037,922x = 664,067,478 × 664,067,478
  4. Step 4: Simplify right side
    430,037,922x = 440,985,615,337,280,512
  5. Step 5: Solve for x
    x = 440,985,615,337,280,512/430,037,922
  6. Step 6: Final answer
    x = 1,025,457,506.83

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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.