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Finding the Third Proportional to 590,415 and 1,294,311

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Solution

The third proportional to 590,415 and 1,294,311 is: 2,837,395.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,415 : 1,294,311 = 1,294,311 : x
  2. Step 2: Convert to fraction form
    590,415/1,294,311 = 1,294,311/x
  3. Step 3: Cross multiply
    590,415x = 1,294,311 × 1,294,311
  4. Step 4: Simplify right side
    590,415x = 1,675,240,964,721
  5. Step 5: Solve for x
    x = 1,675,240,964,721/590,415
  6. Step 6: Final answer
    x = 2,837,395.67

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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.