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Finding the Third Proportional to 435,074 and 934,416

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Solution

The third proportional to 435,074 and 934,416 is: 2,006,861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,074 : 934,416 = 934,416 : x
  2. Step 2: Convert to fraction form
    435,074/934,416 = 934,416/x
  3. Step 3: Cross multiply
    435,074x = 934,416 × 934,416
  4. Step 4: Simplify right side
    435,074x = 873,133,261,056
  5. Step 5: Solve for x
    x = 873,133,261,056/435,074
  6. Step 6: Final answer
    x = 2,006,861.50

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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.