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Finding the Third Proportional to 665,103.75 and 1,454,430

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Solution

The third proportional to 665,103.75 and 1,454,430 is: 3,180,506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,103.75 : 1,454,430 = 1,454,430 : x
  2. Step 2: Convert to fraction form
    665,103.75/1,454,430 = 1,454,430/x
  3. Step 3: Cross multiply
    665,103.75x = 1,454,430 × 1,454,430
  4. Step 4: Simplify right side
    665,103.75x = 2,115,366,624,900
  5. Step 5: Solve for x
    x = 2,115,366,624,900/665,103.75
  6. Step 6: Final answer
    x = 3,180,506.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.