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Finding the Third Proportional to 1,024,455 and 1,503,468

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Solution

The third proportional to 1,024,455 and 1,503,468 is: 2,206,457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,455 : 1,503,468 = 1,503,468 : x
  2. Step 2: Convert to fraction form
    1,024,455/1,503,468 = 1,503,468/x
  3. Step 3: Cross multiply
    1,024,455x = 1,503,468 × 1,503,468
  4. Step 4: Simplify right side
    1,024,455x = 2,260,416,027,024
  5. Step 5: Solve for x
    x = 2,260,416,027,024/1,024,455
  6. Step 6: Final answer
    x = 2,206,457.12

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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.