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Finding the Third Proportional to 2,771,744.63 and 4,146,317.44

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Solution

The third proportional to 2,771,744.63 and 4,146,317.44 is: 6,202,572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771,744.63 : 4,146,317.44 = 4,146,317.44 : x
  2. Step 2: Convert to fraction form
    2,771,744.63/4,146,317.44 = 4,146,317.44/x
  3. Step 3: Cross multiply
    2,771,744.63x = 4,146,317.44 × 4,146,317.44
  4. Step 4: Simplify right side
    2,771,744.63x = 17,191,948,292,516.57
  5. Step 5: Solve for x
    x = 17,191,948,292,516.57/2,771,744.63
  6. Step 6: Final answer
    x = 6,202,572.97

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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.