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Finding the Third Proportional to 950,962 and 2,051,726

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Solution

The third proportional to 950,962 and 2,051,726 is: 4,426,653.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,962 : 2,051,726 = 2,051,726 : x
  2. Step 2: Convert to fraction form
    950,962/2,051,726 = 2,051,726/x
  3. Step 3: Cross multiply
    950,962x = 2,051,726 × 2,051,726
  4. Step 4: Simplify right side
    950,962x = 4,209,579,579,076
  5. Step 5: Solve for x
    x = 4,209,579,579,076/950,962
  6. Step 6: Final answer
    x = 4,426,653.83

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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.