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Finding the Third Proportional to 826,444 and 1,263,399.50

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Solution

The third proportional to 826,444 and 1,263,399.50 is: 1,931,381.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,444 : 1,263,399.50 = 1,263,399.50 : x
  2. Step 2: Convert to fraction form
    826,444/1,263,399.50 = 1,263,399.50/x
  3. Step 3: Cross multiply
    826,444x = 1,263,399.50 × 1,263,399.50
  4. Step 4: Simplify right side
    826,444x = 1,596,178,296,600.25
  5. Step 5: Solve for x
    x = 1,596,178,296,600.25/826,444
  6. Step 6: Final answer
    x = 1,931,381.07

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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.