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Finding the Third Proportional to 1,561,586.34 and 3,614,727.52

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Solution

The third proportional to 1,561,586.34 and 3,614,727.52 is: 8,367,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561,586.34 : 3,614,727.52 = 3,614,727.52 : x
  2. Step 2: Convert to fraction form
    1,561,586.34/3,614,727.52 = 3,614,727.52/x
  3. Step 3: Cross multiply
    1,561,586.34x = 3,614,727.52 × 3,614,727.52
  4. Step 4: Simplify right side
    1,561,586.34x = 13,066,255,012,216.48
  5. Step 5: Solve for x
    x = 13,066,255,012,216.48/1,561,586.34
  6. Step 6: Final answer
    x = 8,367,295.90

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.