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Finding the Third Proportional to 583,130 and 1,212,814

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Solution

The third proportional to 583,130 and 1,212,814 is: 2,522,452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,130 : 1,212,814 = 1,212,814 : x
  2. Step 2: Convert to fraction form
    583,130/1,212,814 = 1,212,814/x
  3. Step 3: Cross multiply
    583,130x = 1,212,814 × 1,212,814
  4. Step 4: Simplify right side
    583,130x = 1,470,917,798,596
  5. Step 5: Solve for x
    x = 1,470,917,798,596/583,130
  6. Step 6: Final answer
    x = 2,522,452.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.