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Finding the Third Proportional to 825,776.44 and 1,263,345.19

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Solution

The third proportional to 825,776.44 and 1,263,345.19 is: 1,932,776.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,776.44 : 1,263,345.19 = 1,263,345.19 : x
  2. Step 2: Convert to fraction form
    825,776.44/1,263,345.19 = 1,263,345.19/x
  3. Step 3: Cross multiply
    825,776.44x = 1,263,345.19 × 1,263,345.19
  4. Step 4: Simplify right side
    825,776.44x = 1,596,041,062,779.41
  5. Step 5: Solve for x
    x = 1,596,041,062,779.41/825,776.44
  6. Step 6: Final answer
    x = 1,932,776.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.