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Finding the Third Proportional to 949,851 and 2,051,253

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Solution

The third proportional to 949,851 and 2,051,253 is: 4,429,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,851 : 2,051,253 = 2,051,253 : x
  2. Step 2: Convert to fraction form
    949,851/2,051,253 = 2,051,253/x
  3. Step 3: Cross multiply
    949,851x = 2,051,253 × 2,051,253
  4. Step 4: Simplify right side
    949,851x = 4,207,638,870,009
  5. Step 5: Solve for x
    x = 4,207,638,870,009/949,851
  6. Step 6: Final answer
    x = 4,429,788.32

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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.