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Finding the Third Proportional to 720,643.50 and 1,568,133

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Solution

The third proportional to 720,643.50 and 1,568,133 is: 3,412,285.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,643.50 : 1,568,133 = 1,568,133 : x
  2. Step 2: Convert to fraction form
    720,643.50/1,568,133 = 1,568,133/x
  3. Step 3: Cross multiply
    720,643.50x = 1,568,133 × 1,568,133
  4. Step 4: Simplify right side
    720,643.50x = 2,459,041,105,689
  5. Step 5: Solve for x
    x = 2,459,041,105,689/720,643.50
  6. Step 6: Final answer
    x = 3,412,285.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.