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Finding the Third Proportional to 433,062 and 944,820

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Solution

The third proportional to 433,062 and 944,820 is: 2,061,332.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,062 : 944,820 = 944,820 : x
  2. Step 2: Convert to fraction form
    433,062/944,820 = 944,820/x
  3. Step 3: Cross multiply
    433,062x = 944,820 × 944,820
  4. Step 4: Simplify right side
    433,062x = 892,684,832,400
  5. Step 5: Solve for x
    x = 892,684,832,400/433,062
  6. Step 6: Final answer
    x = 2,061,332.63

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Why These Related Problems?

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