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Finding the Third Proportional to 1,200,697.17 and 1,920,408.12

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Solution

The third proportional to 1,200,697.17 and 1,920,408.12 is: 3,071,521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,697.17 : 1,920,408.12 = 1,920,408.12 : x
  2. Step 2: Convert to fraction form
    1,200,697.17/1,920,408.12 = 1,920,408.12/x
  3. Step 3: Cross multiply
    1,200,697.17x = 1,920,408.12 × 1,920,408.12
  4. Step 4: Simplify right side
    1,200,697.17x = 3,687,967,336,559.64
  5. Step 5: Solve for x
    x = 3,687,967,336,559.64/1,200,697.17
  6. Step 6: Final answer
    x = 3,071,521.63

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.