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Finding the Third Proportional to 1,142,550.56 and 1,774,835.72

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Solution

The third proportional to 1,142,550.56 and 1,774,835.72 is: 2,757,026.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142,550.56 : 1,774,835.72 = 1,774,835.72 : x
  2. Step 2: Convert to fraction form
    1,142,550.56/1,774,835.72 = 1,774,835.72/x
  3. Step 3: Cross multiply
    1,142,550.56x = 1,774,835.72 × 1,774,835.72
  4. Step 4: Simplify right side
    1,142,550.56x = 3,150,041,828,550.83
  5. Step 5: Solve for x
    x = 3,150,041,828,550.83/1,142,550.56
  6. Step 6: Final answer
    x = 2,757,026.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.