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Finding the Third Proportional to 949,850 and 2,051,251

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Solution

The third proportional to 949,850 and 2,051,251 is: 4,429,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,850 : 2,051,251 = 2,051,251 : x
  2. Step 2: Convert to fraction form
    949,850/2,051,251 = 2,051,251/x
  3. Step 3: Cross multiply
    949,850x = 2,051,251 × 2,051,251
  4. Step 4: Simplify right side
    949,850x = 4,207,630,665,001
  5. Step 5: Solve for x
    x = 4,207,630,665,001/949,850
  6. Step 6: Final answer
    x = 4,429,784.35

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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.