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Finding the Third Proportional to 483,645.94 and 1,038,642.75

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Solution

The third proportional to 483,645.94 and 1,038,642.75 is: 2,230,513.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,645.94 : 1,038,642.75 = 1,038,642.75 : x
  2. Step 2: Convert to fraction form
    483,645.94/1,038,642.75 = 1,038,642.75/x
  3. Step 3: Cross multiply
    483,645.94x = 1,038,642.75 × 1,038,642.75
  4. Step 4: Simplify right side
    483,645.94x = 1,078,778,762,127.56
  5. Step 5: Solve for x
    x = 1,078,778,762,127.56/483,645.94
  6. Step 6: Final answer
    x = 2,230,513.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.