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Finding the Third Proportional to 602,408 and 1,266,941

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Solution

The third proportional to 602,408 and 1,266,941 is: 2,664,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,408 : 1,266,941 = 1,266,941 : x
  2. Step 2: Convert to fraction form
    602,408/1,266,941 = 1,266,941/x
  3. Step 3: Cross multiply
    602,408x = 1,266,941 × 1,266,941
  4. Step 4: Simplify right side
    602,408x = 1,605,139,497,481
  5. Step 5: Solve for x
    x = 1,605,139,497,481/602,408
  6. Step 6: Final answer
    x = 2,664,538.81

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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.