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Finding the Third Proportional to 504,588 and 1,087,512

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Solution

The third proportional to 504,588 and 1,087,512 is: 2,343,857.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,588 : 1,087,512 = 1,087,512 : x
  2. Step 2: Convert to fraction form
    504,588/1,087,512 = 1,087,512/x
  3. Step 3: Cross multiply
    504,588x = 1,087,512 × 1,087,512
  4. Step 4: Simplify right side
    504,588x = 1,182,682,350,144
  5. Step 5: Solve for x
    x = 1,182,682,350,144/504,588
  6. Step 6: Final answer
    x = 2,343,857.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.