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Finding the Third Proportional to 742,803 and 1,628,002

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Solution

The third proportional to 742,803 and 1,628,002 is: 3,568,093.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,803 : 1,628,002 = 1,628,002 : x
  2. Step 2: Convert to fraction form
    742,803/1,628,002 = 1,628,002/x
  3. Step 3: Cross multiply
    742,803x = 1,628,002 × 1,628,002
  4. Step 4: Simplify right side
    742,803x = 2,650,390,512,004
  5. Step 5: Solve for x
    x = 2,650,390,512,004/742,803
  6. Step 6: Final answer
    x = 3,568,093.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.