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Finding the Third Proportional to 644,821 and 1,516,715.50

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Solution

The third proportional to 644,821 and 1,516,715.50 is: 3,567,541.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,821 : 1,516,715.50 = 1,516,715.50 : x
  2. Step 2: Convert to fraction form
    644,821/1,516,715.50 = 1,516,715.50/x
  3. Step 3: Cross multiply
    644,821x = 1,516,715.50 × 1,516,715.50
  4. Step 4: Simplify right side
    644,821x = 2,300,425,907,940.25
  5. Step 5: Solve for x
    x = 2,300,425,907,940.25/644,821
  6. Step 6: Final answer
    x = 3,567,541.86

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.