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Finding the Third Proportional to 2,214,207 and 3,615,619.50

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Solution

The third proportional to 2,214,207 and 3,615,619.50 is: 5,904,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214,207 : 3,615,619.50 = 3,615,619.50 : x
  2. Step 2: Convert to fraction form
    2,214,207/3,615,619.50 = 3,615,619.50/x
  3. Step 3: Cross multiply
    2,214,207x = 3,615,619.50 × 3,615,619.50
  4. Step 4: Simplify right side
    2,214,207x = 13,072,704,368,780.25
  5. Step 5: Solve for x
    x = 13,072,704,368,780.25/2,214,207
  6. Step 6: Final answer
    x = 5,904,011.85

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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.