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Finding the Third Proportional to 1,050,214.50 and 1,629,324

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Solution

The third proportional to 1,050,214.50 and 1,629,324 is: 2,527,766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050,214.50 : 1,629,324 = 1,629,324 : x
  2. Step 2: Convert to fraction form
    1,050,214.50/1,629,324 = 1,629,324/x
  3. Step 3: Cross multiply
    1,050,214.50x = 1,629,324 × 1,629,324
  4. Step 4: Simplify right side
    1,050,214.50x = 2,654,696,696,976
  5. Step 5: Solve for x
    x = 2,654,696,696,976/1,050,214.50
  6. Step 6: Final answer
    x = 2,527,766.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.