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Finding the Third Proportional to 583,827 and 1,242,984

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Solution

The third proportional to 583,827 and 1,242,984 is: 2,646,347.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,827 : 1,242,984 = 1,242,984 : x
  2. Step 2: Convert to fraction form
    583,827/1,242,984 = 1,242,984/x
  3. Step 3: Cross multiply
    583,827x = 1,242,984 × 1,242,984
  4. Step 4: Simplify right side
    583,827x = 1,545,009,224,256
  5. Step 5: Solve for x
    x = 1,545,009,224,256/583,827
  6. Step 6: Final answer
    x = 2,646,347.68

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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.