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Finding the Third Proportional to 605,497 and 1,427,326

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Solution

The third proportional to 605,497 and 1,427,326 is: 3,364,607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,497 : 1,427,326 = 1,427,326 : x
  2. Step 2: Convert to fraction form
    605,497/1,427,326 = 1,427,326/x
  3. Step 3: Cross multiply
    605,497x = 1,427,326 × 1,427,326
  4. Step 4: Simplify right side
    605,497x = 2,037,259,510,276
  5. Step 5: Solve for x
    x = 2,037,259,510,276/605,497
  6. Step 6: Final answer
    x = 3,364,607.11

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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.