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Finding the Third Proportional to 583,833 and 1,242,996

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Solution

The third proportional to 583,833 and 1,242,996 is: 2,646,371.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,833 : 1,242,996 = 1,242,996 : x
  2. Step 2: Convert to fraction form
    583,833/1,242,996 = 1,242,996/x
  3. Step 3: Cross multiply
    583,833x = 1,242,996 × 1,242,996
  4. Step 4: Simplify right side
    583,833x = 1,545,039,056,016
  5. Step 5: Solve for x
    x = 1,545,039,056,016/583,833
  6. Step 6: Final answer
    x = 2,646,371.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.