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Finding the Third Proportional to 901,014 and 1,601,706

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Solution

The third proportional to 901,014 and 1,601,706 is: 2,847,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,014 : 1,601,706 = 1,601,706 : x
  2. Step 2: Convert to fraction form
    901,014/1,601,706 = 1,601,706/x
  3. Step 3: Cross multiply
    901,014x = 1,601,706 × 1,601,706
  4. Step 4: Simplify right side
    901,014x = 2,565,462,110,436
  5. Step 5: Solve for x
    x = 2,565,462,110,436/901,014
  6. Step 6: Final answer
    x = 2,847,305.49

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.