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Finding the Third Proportional to 2,068,083 and 3,104,313

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Solution

The third proportional to 2,068,083 and 3,104,313 is: 4,659,754.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068,083 : 3,104,313 = 3,104,313 : x
  2. Step 2: Convert to fraction form
    2,068,083/3,104,313 = 3,104,313/x
  3. Step 3: Cross multiply
    2,068,083x = 3,104,313 × 3,104,313
  4. Step 4: Simplify right side
    2,068,083x = 9,636,759,201,969
  5. Step 5: Solve for x
    x = 9,636,759,201,969/2,068,083
  6. Step 6: Final answer
    x = 4,659,754.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.