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Finding the Third Proportional to 2,284,956 and 4,884,894

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Solution

The third proportional to 2,284,956 and 4,884,894 is: 10,443,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284,956 : 4,884,894 = 4,884,894 : x
  2. Step 2: Convert to fraction form
    2,284,956/4,884,894 = 4,884,894/x
  3. Step 3: Cross multiply
    2,284,956x = 4,884,894 × 4,884,894
  4. Step 4: Simplify right side
    2,284,956x = 23,862,189,391,236
  5. Step 5: Solve for x
    x = 23,862,189,391,236/2,284,956
  6. Step 6: Final answer
    x = 10,443,172.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.