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Finding the Third Proportional to 1,752,172.10 and 2,561,736.87

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Solution

The third proportional to 1,752,172.10 and 2,561,736.87 is: 3,745,348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752,172.10 : 2,561,736.87 = 2,561,736.87 : x
  2. Step 2: Convert to fraction form
    1,752,172.10/2,561,736.87 = 2,561,736.87/x
  3. Step 3: Cross multiply
    1,752,172.10x = 2,561,736.87 × 2,561,736.87
  4. Step 4: Simplify right side
    1,752,172.10x = 6,562,495,776,707.63
  5. Step 5: Solve for x
    x = 6,562,495,776,707.63/1,752,172.10
  6. Step 6: Final answer
    x = 3,745,348.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.