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Finding the Third Proportional to 775,497 and 1,136,211

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Solution

The third proportional to 775,497 and 1,136,211 is: 1,664,707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,497 : 1,136,211 = 1,136,211 : x
  2. Step 2: Convert to fraction form
    775,497/1,136,211 = 1,136,211/x
  3. Step 3: Cross multiply
    775,497x = 1,136,211 × 1,136,211
  4. Step 4: Simplify right side
    775,497x = 1,290,975,436,521
  5. Step 5: Solve for x
    x = 1,290,975,436,521/775,497
  6. Step 6: Final answer
    x = 1,664,707.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.