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Finding the Third Proportional to 404,202,927 and 877,011,780

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Solution

The third proportional to 404,202,927 and 877,011,780 is: 1,902,879,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,202,927 : 877,011,780 = 877,011,780 : x
  2. Step 2: Convert to fraction form
    404,202,927/877,011,780 = 877,011,780/x
  3. Step 3: Cross multiply
    404,202,927x = 877,011,780 × 877,011,780
  4. Step 4: Simplify right side
    404,202,927x = 769,149,662,258,768,384
  5. Step 5: Solve for x
    x = 769,149,662,258,768,384/404,202,927
  6. Step 6: Final answer
    x = 1,902,879,991.41

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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.