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Finding the Third Proportional to 700,967.25 and 1,531,662.75

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Solution

The third proportional to 700,967.25 and 1,531,662.75 is: 3,346,790.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,967.25 : 1,531,662.75 = 1,531,662.75 : x
  2. Step 2: Convert to fraction form
    700,967.25/1,531,662.75 = 1,531,662.75/x
  3. Step 3: Cross multiply
    700,967.25x = 1,531,662.75 × 1,531,662.75
  4. Step 4: Simplify right side
    700,967.25x = 2,345,990,779,737.56
  5. Step 5: Solve for x
    x = 2,345,990,779,737.56/700,967.25
  6. Step 6: Final answer
    x = 3,346,790.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.