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Finding the Third Proportional to 537,603.75 and 1,173,015

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Solution

The third proportional to 537,603.75 and 1,173,015 is: 2,559,439.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,603.75 : 1,173,015 = 1,173,015 : x
  2. Step 2: Convert to fraction form
    537,603.75/1,173,015 = 1,173,015/x
  3. Step 3: Cross multiply
    537,603.75x = 1,173,015 × 1,173,015
  4. Step 4: Simplify right side
    537,603.75x = 1,375,964,190,225
  5. Step 5: Solve for x
    x = 1,375,964,190,225/537,603.75
  6. Step 6: Final answer
    x = 2,559,439.35

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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.