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Finding the Third Proportional to 422,794,233 and 646,827,849

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Solution

The third proportional to 422,794,233 and 646,827,849 is: 989,574,203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,794,233 : 646,827,849 = 646,827,849 : x
  2. Step 2: Convert to fraction form
    422,794,233/646,827,849 = 646,827,849/x
  3. Step 3: Cross multiply
    422,794,233x = 646,827,849 × 646,827,849
  4. Step 4: Simplify right side
    422,794,233x = 418,386,266,241,966,784
  5. Step 5: Solve for x
    x = 418,386,266,241,966,784/422,794,233
  6. Step 6: Final answer
    x = 989,574,203.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.