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Finding the Third Proportional to 933,732 and 1,463,211

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Solution

The third proportional to 933,732 and 1,463,211 is: 2,292,934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,732 : 1,463,211 = 1,463,211 : x
  2. Step 2: Convert to fraction form
    933,732/1,463,211 = 1,463,211/x
  3. Step 3: Cross multiply
    933,732x = 1,463,211 × 1,463,211
  4. Step 4: Simplify right side
    933,732x = 2,140,986,430,521
  5. Step 5: Solve for x
    x = 2,140,986,430,521/933,732
  6. Step 6: Final answer
    x = 2,292,934.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.