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Finding the Third Proportional to 2,049,116 and 3,057,066

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Solution

The third proportional to 2,049,116 and 3,057,066 is: 4,560,821.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,116 : 3,057,066 = 3,057,066 : x
  2. Step 2: Convert to fraction form
    2,049,116/3,057,066 = 3,057,066/x
  3. Step 3: Cross multiply
    2,049,116x = 3,057,066 × 3,057,066
  4. Step 4: Simplify right side
    2,049,116x = 9,345,652,528,356
  5. Step 5: Solve for x
    x = 9,345,652,528,356/2,049,116
  6. Step 6: Final answer
    x = 4,560,821.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.