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Finding the Third Proportional to 633,723 and 1,409,133

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Solution

The third proportional to 633,723 and 1,409,133 is: 3,133,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,723 : 1,409,133 = 1,409,133 : x
  2. Step 2: Convert to fraction form
    633,723/1,409,133 = 1,409,133/x
  3. Step 3: Cross multiply
    633,723x = 1,409,133 × 1,409,133
  4. Step 4: Simplify right side
    633,723x = 1,985,655,811,689
  5. Step 5: Solve for x
    x = 1,985,655,811,689/633,723
  6. Step 6: Final answer
    x = 3,133,318.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.