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Finding the Third Proportional to 829,388,408 and 1,781,860,324

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Solution

The third proportional to 829,388,408 and 1,781,860,324 is: 3,828,153,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,388,408 : 1,781,860,324 = 1,781,860,324 : x
  2. Step 2: Convert to fraction form
    829,388,408/1,781,860,324 = 1,781,860,324/x
  3. Step 3: Cross multiply
    829,388,408x = 1,781,860,324 × 1,781,860,324
  4. Step 4: Simplify right side
    829,388,408x = 3,175,026,214,245,385,216
  5. Step 5: Solve for x
    x = 3,175,026,214,245,385,216/829,388,408
  6. Step 6: Final answer
    x = 3,828,153,593.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.