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Finding the Third Proportional to 2,214,409.50 and 3,615,894

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Solution

The third proportional to 2,214,409.50 and 3,615,894 is: 5,904,368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214,409.50 : 3,615,894 = 3,615,894 : x
  2. Step 2: Convert to fraction form
    2,214,409.50/3,615,894 = 3,615,894/x
  3. Step 3: Cross multiply
    2,214,409.50x = 3,615,894 × 3,615,894
  4. Step 4: Simplify right side
    2,214,409.50x = 13,074,689,419,236
  5. Step 5: Solve for x
    x = 13,074,689,419,236/2,214,409.50
  6. Step 6: Final answer
    x = 5,904,368.37

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.