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Finding the Third Proportional to 471,048 and 1,020,384

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Solution

The third proportional to 471,048 and 1,020,384 is: 2,210,355.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,048 : 1,020,384 = 1,020,384 : x
  2. Step 2: Convert to fraction form
    471,048/1,020,384 = 1,020,384/x
  3. Step 3: Cross multiply
    471,048x = 1,020,384 × 1,020,384
  4. Step 4: Simplify right side
    471,048x = 1,041,183,507,456
  5. Step 5: Solve for x
    x = 1,041,183,507,456/471,048
  6. Step 6: Final answer
    x = 2,210,355.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.