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Finding the Third Proportional to 1,597,980 and 3,423,408

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Solution

The third proportional to 1,597,980 and 3,423,408 is: 7,334,085.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597,980 : 3,423,408 = 3,423,408 : x
  2. Step 2: Convert to fraction form
    1,597,980/3,423,408 = 3,423,408/x
  3. Step 3: Cross multiply
    1,597,980x = 3,423,408 × 3,423,408
  4. Step 4: Simplify right side
    1,597,980x = 11,719,722,334,464
  5. Step 5: Solve for x
    x = 11,719,722,334,464/1,597,980
  6. Step 6: Final answer
    x = 7,334,085.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.