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Finding the Third Proportional to 562,923 and 1,148,769

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Solution

The third proportional to 562,923 and 1,148,769 is: 2,344,317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,923 : 1,148,769 = 1,148,769 : x
  2. Step 2: Convert to fraction form
    562,923/1,148,769 = 1,148,769/x
  3. Step 3: Cross multiply
    562,923x = 1,148,769 × 1,148,769
  4. Step 4: Simplify right side
    562,923x = 1,319,670,215,361
  5. Step 5: Solve for x
    x = 1,319,670,215,361/562,923
  6. Step 6: Final answer
    x = 2,344,317.46

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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.