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Finding the Third Proportional to 1,024,453.50 and 1,503,465

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Solution

The third proportional to 1,024,453.50 and 1,503,465 is: 2,206,451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,453.50 : 1,503,465 = 1,503,465 : x
  2. Step 2: Convert to fraction form
    1,024,453.50/1,503,465 = 1,503,465/x
  3. Step 3: Cross multiply
    1,024,453.50x = 1,503,465 × 1,503,465
  4. Step 4: Simplify right side
    1,024,453.50x = 2,260,407,006,225
  5. Step 5: Solve for x
    x = 2,260,407,006,225/1,024,453.50
  6. Step 6: Final answer
    x = 2,206,451.54

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Why These Related Problems?

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