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Finding the Third Proportional to 646,628.50 and 1,524,284

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Solution

The third proportional to 646,628.50 and 1,524,284 is: 3,593,163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,628.50 : 1,524,284 = 1,524,284 : x
  2. Step 2: Convert to fraction form
    646,628.50/1,524,284 = 1,524,284/x
  3. Step 3: Cross multiply
    646,628.50x = 1,524,284 × 1,524,284
  4. Step 4: Simplify right side
    646,628.50x = 2,323,441,712,656
  5. Step 5: Solve for x
    x = 2,323,441,712,656/646,628.50
  6. Step 6: Final answer
    x = 3,593,163.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.