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Finding the Third Proportional to 583,130 and 1,212,813

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Solution

The third proportional to 583,130 and 1,212,813 is: 2,522,448.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,130 : 1,212,813 = 1,212,813 : x
  2. Step 2: Convert to fraction form
    583,130/1,212,813 = 1,212,813/x
  3. Step 3: Cross multiply
    583,130x = 1,212,813 × 1,212,813
  4. Step 4: Simplify right side
    583,130x = 1,470,915,372,969
  5. Step 5: Solve for x
    x = 1,470,915,372,969/583,130
  6. Step 6: Final answer
    x = 2,522,448.46

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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.