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Finding the Third Proportional to 1,560,268 and 2,330,106

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Solution

The third proportional to 1,560,268 and 2,330,106 is: 3,479,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560,268 : 2,330,106 = 2,330,106 : x
  2. Step 2: Convert to fraction form
    1,560,268/2,330,106 = 2,330,106/x
  3. Step 3: Cross multiply
    1,560,268x = 2,330,106 × 2,330,106
  4. Step 4: Simplify right side
    1,560,268x = 5,429,393,971,236
  5. Step 5: Solve for x
    x = 5,429,393,971,236/1,560,268
  6. Step 6: Final answer
    x = 3,479,782.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.