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Finding the Third Proportional to 605,511 and 1,427,355

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Solution

The third proportional to 605,511 and 1,427,355 is: 3,364,666.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,511 : 1,427,355 = 1,427,355 : x
  2. Step 2: Convert to fraction form
    605,511/1,427,355 = 1,427,355/x
  3. Step 3: Cross multiply
    605,511x = 1,427,355 × 1,427,355
  4. Step 4: Simplify right side
    605,511x = 2,037,342,296,025
  5. Step 5: Solve for x
    x = 2,037,342,296,025/605,511
  6. Step 6: Final answer
    x = 3,364,666.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.