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Finding the Third Proportional to 733,410 and 1,624,284

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Solution

The third proportional to 733,410 and 1,624,284 is: 3,597,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,410 : 1,624,284 = 1,624,284 : x
  2. Step 2: Convert to fraction form
    733,410/1,624,284 = 1,624,284/x
  3. Step 3: Cross multiply
    733,410x = 1,624,284 × 1,624,284
  4. Step 4: Simplify right side
    733,410x = 2,638,298,512,656
  5. Step 5: Solve for x
    x = 2,638,298,512,656/733,410
  6. Step 6: Final answer
    x = 3,597,303.71

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.