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Finding the Third Proportional to 943,844 and 2,045,155

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Solution

The third proportional to 943,844 and 2,045,155 is: 4,431,515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,844 : 2,045,155 = 2,045,155 : x
  2. Step 2: Convert to fraction form
    943,844/2,045,155 = 2,045,155/x
  3. Step 3: Cross multiply
    943,844x = 2,045,155 × 2,045,155
  4. Step 4: Simplify right side
    943,844x = 4,182,658,974,025
  5. Step 5: Solve for x
    x = 4,182,658,974,025/943,844
  6. Step 6: Final answer
    x = 4,431,515.14

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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.