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Finding the Third Proportional to 435,576 and 937,894

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Solution

The third proportional to 435,576 and 937,894 is: 2,019,498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,576 : 937,894 = 937,894 : x
  2. Step 2: Convert to fraction form
    435,576/937,894 = 937,894/x
  3. Step 3: Cross multiply
    435,576x = 937,894 × 937,894
  4. Step 4: Simplify right side
    435,576x = 879,645,155,236
  5. Step 5: Solve for x
    x = 879,645,155,236/435,576
  6. Step 6: Final answer
    x = 2,019,498.68

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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.