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Finding the Third Proportional to 433,818 and 934,233.19

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Solution

The third proportional to 433,818 and 934,233.19 is: 2,011,884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,818 : 934,233.19 = 934,233.19 : x
  2. Step 2: Convert to fraction form
    433,818/934,233.19 = 934,233.19/x
  3. Step 3: Cross multiply
    433,818x = 934,233.19 × 934,233.19
  4. Step 4: Simplify right side
    433,818x = 872,791,648,626.41
  5. Step 5: Solve for x
    x = 872,791,648,626.41/433,818
  6. Step 6: Final answer
    x = 2,011,884.36

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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.