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Finding the Third Proportional to 933,122 and 2,047,036

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Solution

The third proportional to 933,122 and 2,047,036 is: 4,490,684.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,122 : 2,047,036 = 2,047,036 : x
  2. Step 2: Convert to fraction form
    933,122/2,047,036 = 2,047,036/x
  3. Step 3: Cross multiply
    933,122x = 2,047,036 × 2,047,036
  4. Step 4: Simplify right side
    933,122x = 4,190,356,385,296
  5. Step 5: Solve for x
    x = 4,190,356,385,296/933,122
  6. Step 6: Final answer
    x = 4,490,684.37

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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.