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Finding the Third Proportional to 946,734 and 2,045,100

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Solution

The third proportional to 946,734 and 2,045,100 is: 4,417,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,734 : 2,045,100 = 2,045,100 : x
  2. Step 2: Convert to fraction form
    946,734/2,045,100 = 2,045,100/x
  3. Step 3: Cross multiply
    946,734x = 2,045,100 × 2,045,100
  4. Step 4: Simplify right side
    946,734x = 4,182,434,010,000
  5. Step 5: Solve for x
    x = 4,182,434,010,000/946,734
  6. Step 6: Final answer
    x = 4,417,749.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.