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Finding the Third Proportional to 435,818 and 944,019

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Solution

The third proportional to 435,818 and 944,019 is: 2,044,825.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,818 : 944,019 = 944,019 : x
  2. Step 2: Convert to fraction form
    435,818/944,019 = 944,019/x
  3. Step 3: Cross multiply
    435,818x = 944,019 × 944,019
  4. Step 4: Simplify right side
    435,818x = 891,171,872,361
  5. Step 5: Solve for x
    x = 891,171,872,361/435,818
  6. Step 6: Final answer
    x = 2,044,825.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.