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Finding the Third Proportional to 1,506,789.50 and 2,274,197

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Solution

The third proportional to 1,506,789.50 and 2,274,197 is: 3,432,444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506,789.50 : 2,274,197 = 2,274,197 : x
  2. Step 2: Convert to fraction form
    1,506,789.50/2,274,197 = 2,274,197/x
  3. Step 3: Cross multiply
    1,506,789.50x = 2,274,197 × 2,274,197
  4. Step 4: Simplify right side
    1,506,789.50x = 5,171,971,994,809
  5. Step 5: Solve for x
    x = 5,171,971,994,809/1,506,789.50
  6. Step 6: Final answer
    x = 3,432,444.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.