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Finding the Third Proportional to 429,235,787 and 929,780,258

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Solution

The third proportional to 429,235,787 and 929,780,258 is: 2,014,024,352.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,235,787 : 929,780,258 = 929,780,258 : x
  2. Step 2: Convert to fraction form
    429,235,787/929,780,258 = 929,780,258/x
  3. Step 3: Cross multiply
    429,235,787x = 929,780,258 × 929,780,258
  4. Step 4: Simplify right side
    429,235,787x = 864,491,328,166,546,560
  5. Step 5: Solve for x
    x = 864,491,328,166,546,560/429,235,787
  6. Step 6: Final answer
    x = 2,014,024,352.93

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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.