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Finding the Third Proportional to 618,399.14 and 945,989.72

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Solution

The third proportional to 618,399.14 and 945,989.72 is: 1,447,118.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,399.14 : 945,989.72 = 945,989.72 : x
  2. Step 2: Convert to fraction form
    618,399.14/945,989.72 = 945,989.72/x
  3. Step 3: Cross multiply
    618,399.14x = 945,989.72 × 945,989.72
  4. Step 4: Simplify right side
    618,399.14x = 894,896,547,980.70
  5. Step 5: Solve for x
    x = 894,896,547,980.70/618,399.14
  6. Step 6: Final answer
    x = 1,447,118.03

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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.