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Finding the Third Proportional to 467,644 and 1,030,616

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Solution

The third proportional to 467,644 and 1,030,616 is: 2,271,320.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,644 : 1,030,616 = 1,030,616 : x
  2. Step 2: Convert to fraction form
    467,644/1,030,616 = 1,030,616/x
  3. Step 3: Cross multiply
    467,644x = 1,030,616 × 1,030,616
  4. Step 4: Simplify right side
    467,644x = 1,062,169,339,456
  5. Step 5: Solve for x
    x = 1,062,169,339,456/467,644
  6. Step 6: Final answer
    x = 2,271,320.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.