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Finding the Third Proportional to 583,266 and 1,251,096

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Solution

The third proportional to 583,266 and 1,251,096 is: 2,683,580.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,266 : 1,251,096 = 1,251,096 : x
  2. Step 2: Convert to fraction form
    583,266/1,251,096 = 1,251,096/x
  3. Step 3: Cross multiply
    583,266x = 1,251,096 × 1,251,096
  4. Step 4: Simplify right side
    583,266x = 1,565,241,201,216
  5. Step 5: Solve for x
    x = 1,565,241,201,216/583,266
  6. Step 6: Final answer
    x = 2,683,580.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.