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Finding the Third Proportional to 640,518,593 and 1,398,485,890

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Solution

The third proportional to 640,518,593 and 1,398,485,890 is: 3,053,405,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,518,593 : 1,398,485,890 = 1,398,485,890 : x
  2. Step 2: Convert to fraction form
    640,518,593/1,398,485,890 = 1,398,485,890/x
  3. Step 3: Cross multiply
    640,518,593x = 1,398,485,890 × 1,398,485,890
  4. Step 4: Simplify right side
    640,518,593x = 1,955,762,784,529,092,096
  5. Step 5: Solve for x
    x = 1,955,762,784,529,092,096/640,518,593
  6. Step 6: Final answer
    x = 3,053,405,171.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.