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Finding the Third Proportional to 429,235,790 and 929,780,265

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Solution

The third proportional to 429,235,790 and 929,780,265 is: 2,014,024,369.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,235,790 : 929,780,265 = 929,780,265 : x
  2. Step 2: Convert to fraction form
    429,235,790/929,780,265 = 929,780,265/x
  3. Step 3: Cross multiply
    429,235,790x = 929,780,265 × 929,780,265
  4. Step 4: Simplify right side
    429,235,790x = 864,491,341,183,470,208
  5. Step 5: Solve for x
    x = 864,491,341,183,470,208/429,235,790
  6. Step 6: Final answer
    x = 2,014,024,369.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.