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Finding the Third Proportional to 2,144,889 and 3,145,162.50

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Solution

The third proportional to 2,144,889 and 3,145,162.50 is: 4,611,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144,889 : 3,145,162.50 = 3,145,162.50 : x
  2. Step 2: Convert to fraction form
    2,144,889/3,145,162.50 = 3,145,162.50/x
  3. Step 3: Cross multiply
    2,144,889x = 3,145,162.50 × 3,145,162.50
  4. Step 4: Simplify right side
    2,144,889x = 9,892,047,151,406.25
  5. Step 5: Solve for x
    x = 9,892,047,151,406.25/2,144,889
  6. Step 6: Final answer
    x = 4,611,915.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.