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Finding the Third Proportional to 602,410 and 1,266,945

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Solution

The third proportional to 602,410 and 1,266,945 is: 2,664,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,410 : 1,266,945 = 1,266,945 : x
  2. Step 2: Convert to fraction form
    602,410/1,266,945 = 1,266,945/x
  3. Step 3: Cross multiply
    602,410x = 1,266,945 × 1,266,945
  4. Step 4: Simplify right side
    602,410x = 1,605,149,633,025
  5. Step 5: Solve for x
    x = 1,605,149,633,025/602,410
  6. Step 6: Final answer
    x = 2,664,546.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.