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Finding the Third Proportional to 583,378 and 1,266,345

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Solution

The third proportional to 583,378 and 1,266,345 is: 2,748,868.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,378 : 1,266,345 = 1,266,345 : x
  2. Step 2: Convert to fraction form
    583,378/1,266,345 = 1,266,345/x
  3. Step 3: Cross multiply
    583,378x = 1,266,345 × 1,266,345
  4. Step 4: Simplify right side
    583,378x = 1,603,629,659,025
  5. Step 5: Solve for x
    x = 1,603,629,659,025/583,378
  6. Step 6: Final answer
    x = 2,748,868.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.