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Finding the Third Proportional to 1,536,563 and 2,255,013

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Solution

The third proportional to 1,536,563 and 2,255,013 is: 3,309,388.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,563 : 2,255,013 = 2,255,013 : x
  2. Step 2: Convert to fraction form
    1,536,563/2,255,013 = 2,255,013/x
  3. Step 3: Cross multiply
    1,536,563x = 2,255,013 × 2,255,013
  4. Step 4: Simplify right side
    1,536,563x = 5,085,083,630,169
  5. Step 5: Solve for x
    x = 5,085,083,630,169/1,536,563
  6. Step 6: Final answer
    x = 3,309,388.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.