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Finding the Third Proportional to 2,077,994 and 3,117,063

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Solution

The third proportional to 2,077,994 and 3,117,063 is: 4,675,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077,994 : 3,117,063 = 3,117,063 : x
  2. Step 2: Convert to fraction form
    2,077,994/3,117,063 = 3,117,063/x
  3. Step 3: Cross multiply
    2,077,994x = 3,117,063 × 3,117,063
  4. Step 4: Simplify right side
    2,077,994x = 9,716,081,745,969
  5. Step 5: Solve for x
    x = 9,716,081,745,969/2,077,994
  6. Step 6: Final answer
    x = 4,675,702.50

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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.