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Finding the Third Proportional to 439,823,614 and 646,272,168

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Solution

The third proportional to 439,823,614 and 646,272,168 is: 949,625,490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,823,614 : 646,272,168 = 646,272,168 : x
  2. Step 2: Convert to fraction form
    439,823,614/646,272,168 = 646,272,168/x
  3. Step 3: Cross multiply
    439,823,614x = 646,272,168 × 646,272,168
  4. Step 4: Simplify right side
    439,823,614x = 417,667,715,131,420,224
  5. Step 5: Solve for x
    x = 417,667,715,131,420,224/439,823,614
  6. Step 6: Final answer
    x = 949,625,490.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.