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Finding the Third Proportional to 1,968,708 and 4,210,404

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Solution

The third proportional to 1,968,708 and 4,210,404 is: 9,004,637.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968,708 : 4,210,404 = 4,210,404 : x
  2. Step 2: Convert to fraction form
    1,968,708/4,210,404 = 4,210,404/x
  3. Step 3: Cross multiply
    1,968,708x = 4,210,404 × 4,210,404
  4. Step 4: Simplify right side
    1,968,708x = 17,727,501,843,216
  5. Step 5: Solve for x
    x = 17,727,501,843,216/1,968,708
  6. Step 6: Final answer
    x = 9,004,637.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.