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Finding the Third Proportional to 700,953.75 and 1,531,644

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Solution

The third proportional to 700,953.75 and 1,531,644 is: 3,346,773.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,953.75 : 1,531,644 = 1,531,644 : x
  2. Step 2: Convert to fraction form
    700,953.75/1,531,644 = 1,531,644/x
  3. Step 3: Cross multiply
    700,953.75x = 1,531,644 × 1,531,644
  4. Step 4: Simplify right side
    700,953.75x = 2,345,933,342,736
  5. Step 5: Solve for x
    x = 2,345,933,342,736/700,953.75
  6. Step 6: Final answer
    x = 3,346,773.37

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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.