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Finding the Third Proportional to 297,408,219 and 644,225,142

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Solution

The third proportional to 297,408,219 and 644,225,142 is: 1,395,476,005.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,408,219 : 644,225,142 = 644,225,142 : x
  2. Step 2: Convert to fraction form
    297,408,219/644,225,142 = 644,225,142/x
  3. Step 3: Cross multiply
    297,408,219x = 644,225,142 × 644,225,142
  4. Step 4: Simplify right side
    297,408,219x = 415,026,033,584,920,192
  5. Step 5: Solve for x
    x = 415,026,033,584,920,192/297,408,219
  6. Step 6: Final answer
    x = 1,395,476,005.94

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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.