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Finding the Third Proportional to 949,844 and 2,051,239

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Solution

The third proportional to 949,844 and 2,051,239 is: 4,429,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,844 : 2,051,239 = 2,051,239 : x
  2. Step 2: Convert to fraction form
    949,844/2,051,239 = 2,051,239/x
  3. Step 3: Cross multiply
    949,844x = 2,051,239 × 2,051,239
  4. Step 4: Simplify right side
    949,844x = 4,207,581,435,121
  5. Step 5: Solve for x
    x = 4,207,581,435,121/949,844
  6. Step 6: Final answer
    x = 4,429,760.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.