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Finding the Third Proportional to 654,926.50 and 1,431,576

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Solution

The third proportional to 654,926.50 and 1,431,576 is: 3,129,221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,926.50 : 1,431,576 = 1,431,576 : x
  2. Step 2: Convert to fraction form
    654,926.50/1,431,576 = 1,431,576/x
  3. Step 3: Cross multiply
    654,926.50x = 1,431,576 × 1,431,576
  4. Step 4: Simplify right side
    654,926.50x = 2,049,409,843,776
  5. Step 5: Solve for x
    x = 2,049,409,843,776/654,926.50
  6. Step 6: Final answer
    x = 3,129,221.13

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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.