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Finding the Third Proportional to 321,439,797 and 697,677,066

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Solution

The third proportional to 321,439,797 and 697,677,066 is: 1,514,290,678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,439,797 : 697,677,066 = 697,677,066 : x
  2. Step 2: Convert to fraction form
    321,439,797/697,677,066 = 697,677,066/x
  3. Step 3: Cross multiply
    321,439,797x = 697,677,066 × 697,677,066
  4. Step 4: Simplify right side
    321,439,797x = 486,753,288,422,368,384
  5. Step 5: Solve for x
    x = 486,753,288,422,368,384/321,439,797
  6. Step 6: Final answer
    x = 1,514,290,678.89

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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.