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Finding the Third Proportional to 579,570 and 1,244,837.50

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Solution

The third proportional to 579,570 and 1,244,837.50 is: 2,673,741.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,570 : 1,244,837.50 = 1,244,837.50 : x
  2. Step 2: Convert to fraction form
    579,570/1,244,837.50 = 1,244,837.50/x
  3. Step 3: Cross multiply
    579,570x = 1,244,837.50 × 1,244,837.50
  4. Step 4: Simplify right side
    579,570x = 1,549,620,401,406.25
  5. Step 5: Solve for x
    x = 1,549,620,401,406.25/579,570
  6. Step 6: Final answer
    x = 2,673,741.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.