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Finding the Third Proportional to 422,959,488 and 646,598,817

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Solution

The third proportional to 422,959,488 and 646,598,817 is: 988,487,176.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,959,488 : 646,598,817 = 646,598,817 : x
  2. Step 2: Convert to fraction form
    422,959,488/646,598,817 = 646,598,817/x
  3. Step 3: Cross multiply
    422,959,488x = 646,598,817 × 646,598,817
  4. Step 4: Simplify right side
    422,959,488x = 418,090,030,145,799,488
  5. Step 5: Solve for x
    x = 418,090,030,145,799,488/422,959,488
  6. Step 6: Final answer
    x = 988,487,176.69

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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.