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Finding the Third Proportional to 699,617.50 and 1,080,346

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Solution

The third proportional to 699,617.50 and 1,080,346 is: 1,668,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,617.50 : 1,080,346 = 1,080,346 : x
  2. Step 2: Convert to fraction form
    699,617.50/1,080,346 = 1,080,346/x
  3. Step 3: Cross multiply
    699,617.50x = 1,080,346 × 1,080,346
  4. Step 4: Simplify right side
    699,617.50x = 1,167,147,479,716
  5. Step 5: Solve for x
    x = 1,167,147,479,716/699,617.50
  6. Step 6: Final answer
    x = 1,668,265.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.