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Finding the Third Proportional to 2,091,016 and 4,580,440

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Solution

The third proportional to 2,091,016 and 4,580,440 is: 10,033,605.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091,016 : 4,580,440 = 4,580,440 : x
  2. Step 2: Convert to fraction form
    2,091,016/4,580,440 = 4,580,440/x
  3. Step 3: Cross multiply
    2,091,016x = 4,580,440 × 4,580,440
  4. Step 4: Simplify right side
    2,091,016x = 20,980,430,593,600
  5. Step 5: Solve for x
    x = 20,980,430,593,600/2,091,016
  6. Step 6: Final answer
    x = 10,033,605.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.