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Finding the Third Proportional to 591,750 and 1,293,984

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Solution

The third proportional to 591,750 and 1,293,984 is: 2,829,564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,750 : 1,293,984 = 1,293,984 : x
  2. Step 2: Convert to fraction form
    591,750/1,293,984 = 1,293,984/x
  3. Step 3: Cross multiply
    591,750x = 1,293,984 × 1,293,984
  4. Step 4: Simplify right side
    591,750x = 1,674,394,592,256
  5. Step 5: Solve for x
    x = 1,674,394,592,256/591,750
  6. Step 6: Final answer
    x = 2,829,564.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.