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Finding the Third Proportional to 1,011,625 and 2,116,774

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Solution

The third proportional to 1,011,625 and 2,116,774 is: 4,429,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,625 : 2,116,774 = 2,116,774 : x
  2. Step 2: Convert to fraction form
    1,011,625/2,116,774 = 2,116,774/x
  3. Step 3: Cross multiply
    1,011,625x = 2,116,774 × 2,116,774
  4. Step 4: Simplify right side
    1,011,625x = 4,480,732,167,076
  5. Step 5: Solve for x
    x = 4,480,732,167,076/1,011,625
  6. Step 6: Final answer
    x = 4,429,242.23

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.