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Finding the Third Proportional to 827,536.50 and 1,290,345.19

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Solution

The third proportional to 827,536.50 and 1,290,345.19 is: 2,011,984.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,536.50 : 1,290,345.19 = 1,290,345.19 : x
  2. Step 2: Convert to fraction form
    827,536.50/1,290,345.19 = 1,290,345.19/x
  3. Step 3: Cross multiply
    827,536.50x = 1,290,345.19 × 1,290,345.19
  4. Step 4: Simplify right side
    827,536.50x = 1,664,990,702,904.41
  5. Step 5: Solve for x
    x = 1,664,990,702,904.41/827,536.50
  6. Step 6: Final answer
    x = 2,011,984.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.