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Finding the Third Proportional to 426,070.13 and 928,408.50

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Solution

The third proportional to 426,070.13 and 928,408.50 is: 2,023,005.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,070.13 : 928,408.50 = 928,408.50 : x
  2. Step 2: Convert to fraction form
    426,070.13/928,408.50 = 928,408.50/x
  3. Step 3: Cross multiply
    426,070.13x = 928,408.50 × 928,408.50
  4. Step 4: Simplify right side
    426,070.13x = 861,942,342,872.25
  5. Step 5: Solve for x
    x = 861,942,342,872.25/426,070.13
  6. Step 6: Final answer
    x = 2,023,005.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.