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Finding the Third Proportional to 2,105,689.50 and 4,310,978.63

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Solution

The third proportional to 2,105,689.50 and 4,310,978.63 is: 8,825,867.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,689.50 : 4,310,978.63 = 4,310,978.63 : x
  2. Step 2: Convert to fraction form
    2,105,689.50/4,310,978.63 = 4,310,978.63/x
  3. Step 3: Cross multiply
    2,105,689.50x = 4,310,978.63 × 4,310,978.63
  4. Step 4: Simplify right side
    2,105,689.50x = 18,584,536,705,206.89
  5. Step 5: Solve for x
    x = 18,584,536,705,206.89/2,105,689.50
  6. Step 6: Final answer
    x = 8,825,867.59

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.