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Finding the Third Proportional to 593,823 and 1,208,697

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Solution

The third proportional to 593,823 and 1,208,697 is: 2,460,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,823 : 1,208,697 = 1,208,697 : x
  2. Step 2: Convert to fraction form
    593,823/1,208,697 = 1,208,697/x
  3. Step 3: Cross multiply
    593,823x = 1,208,697 × 1,208,697
  4. Step 4: Simplify right side
    593,823x = 1,460,948,437,809
  5. Step 5: Solve for x
    x = 1,460,948,437,809/593,823
  6. Step 6: Final answer
    x = 2,460,242.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.