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Finding the Third Proportional to 435,070 and 934,408

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Solution

The third proportional to 435,070 and 934,408 is: 2,006,845.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,070 : 934,408 = 934,408 : x
  2. Step 2: Convert to fraction form
    435,070/934,408 = 934,408/x
  3. Step 3: Cross multiply
    435,070x = 934,408 × 934,408
  4. Step 4: Simplify right side
    435,070x = 873,118,310,464
  5. Step 5: Solve for x
    x = 873,118,310,464/435,070
  6. Step 6: Final answer
    x = 2,006,845.59

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Why These Related Problems?

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