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Finding the Third Proportional to 814,297 and 1,070,799

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Solution

The third proportional to 814,297 and 1,070,799 is: 1,408,098.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,297 : 1,070,799 = 1,070,799 : x
  2. Step 2: Convert to fraction form
    814,297/1,070,799 = 1,070,799/x
  3. Step 3: Cross multiply
    814,297x = 1,070,799 × 1,070,799
  4. Step 4: Simplify right side
    814,297x = 1,146,610,498,401
  5. Step 5: Solve for x
    x = 1,146,610,498,401/814,297
  6. Step 6: Final answer
    x = 1,408,098.64

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.