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Finding the Third Proportional to 759,948 and 1,621,600

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Solution

The third proportional to 759,948 and 1,621,600 is: 3,460,219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,948 : 1,621,600 = 1,621,600 : x
  2. Step 2: Convert to fraction form
    759,948/1,621,600 = 1,621,600/x
  3. Step 3: Cross multiply
    759,948x = 1,621,600 × 1,621,600
  4. Step 4: Simplify right side
    759,948x = 2,629,586,560,000
  5. Step 5: Solve for x
    x = 2,629,586,560,000/759,948
  6. Step 6: Final answer
    x = 3,460,219.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.