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Finding the Third Proportional to 422,010,534 and 899,762,892

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Solution

The third proportional to 422,010,534 and 899,762,892 is: 1,918,372,165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,010,534 : 899,762,892 = 899,762,892 : x
  2. Step 2: Convert to fraction form
    422,010,534/899,762,892 = 899,762,892/x
  3. Step 3: Cross multiply
    422,010,534x = 899,762,892 × 899,762,892
  4. Step 4: Simplify right side
    422,010,534x = 809,573,261,820,203,648
  5. Step 5: Solve for x
    x = 809,573,261,820,203,648/422,010,534
  6. Step 6: Final answer
    x = 1,918,372,165.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.