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Finding the Third Proportional to 2,138,400 and 4,453,096.50

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Solution

The third proportional to 2,138,400 and 4,453,096.50 is: 9,273,320.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,400 : 4,453,096.50 = 4,453,096.50 : x
  2. Step 2: Convert to fraction form
    2,138,400/4,453,096.50 = 4,453,096.50/x
  3. Step 3: Cross multiply
    2,138,400x = 4,453,096.50 × 4,453,096.50
  4. Step 4: Simplify right side
    2,138,400x = 19,830,068,438,312.25
  5. Step 5: Solve for x
    x = 19,830,068,438,312.25/2,138,400
  6. Step 6: Final answer
    x = 9,273,320.44

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.