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Finding the Third Proportional to 411,257,769 and 890,228,946

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Solution

The third proportional to 411,257,769 and 890,228,946 is: 1,927,033,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,257,769 : 890,228,946 = 890,228,946 : x
  2. Step 2: Convert to fraction form
    411,257,769/890,228,946 = 890,228,946/x
  3. Step 3: Cross multiply
    411,257,769x = 890,228,946 × 890,228,946
  4. Step 4: Simplify right side
    411,257,769x = 792,507,576,296,270,976
  5. Step 5: Solve for x
    x = 792,507,576,296,270,976/411,257,769
  6. Step 6: Final answer
    x = 1,927,033,690.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.