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Finding the Third Proportional to 914,953.50 and 1,415,454.75

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Solution

The third proportional to 914,953.50 and 1,415,454.75 is: 2,189,742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,953.50 : 1,415,454.75 = 1,415,454.75 : x
  2. Step 2: Convert to fraction form
    914,953.50/1,415,454.75 = 1,415,454.75/x
  3. Step 3: Cross multiply
    914,953.50x = 1,415,454.75 × 1,415,454.75
  4. Step 4: Simplify right side
    914,953.50x = 2,003,512,149,297.56
  5. Step 5: Solve for x
    x = 2,003,512,149,297.56/914,953.50
  6. Step 6: Final answer
    x = 2,189,742.05

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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.