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Finding the Third Proportional to 395,630,125 and 581,593,834

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Solution

The third proportional to 395,630,125 and 581,593,834 is: 854,968,735.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,630,125 : 581,593,834 = 581,593,834 : x
  2. Step 2: Convert to fraction form
    395,630,125/581,593,834 = 581,593,834/x
  3. Step 3: Cross multiply
    395,630,125x = 581,593,834 × 581,593,834
  4. Step 4: Simplify right side
    395,630,125x = 338,251,387,746,819,584
  5. Step 5: Solve for x
    x = 338,251,387,746,819,584/395,630,125
  6. Step 6: Final answer
    x = 854,968,735.63

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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.