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Finding the Third Proportional to 455,793.75 and 977,811.75

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Solution

The third proportional to 455,793.75 and 977,811.75 is: 2,097,694.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,793.75 : 977,811.75 = 977,811.75 : x
  2. Step 2: Convert to fraction form
    455,793.75/977,811.75 = 977,811.75/x
  3. Step 3: Cross multiply
    455,793.75x = 977,811.75 × 977,811.75
  4. Step 4: Simplify right side
    455,793.75x = 956,115,818,438.06
  5. Step 5: Solve for x
    x = 956,115,818,438.06/455,793.75
  6. Step 6: Final answer
    x = 2,097,694.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.