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Finding the Third Proportional to 1,223,824 and 2,651,042

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Solution

The third proportional to 1,223,824 and 2,651,042 is: 5,742,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,824 : 2,651,042 = 2,651,042 : x
  2. Step 2: Convert to fraction form
    1,223,824/2,651,042 = 2,651,042/x
  3. Step 3: Cross multiply
    1,223,824x = 2,651,042 × 2,651,042
  4. Step 4: Simplify right side
    1,223,824x = 7,028,023,685,764
  5. Step 5: Solve for x
    x = 7,028,023,685,764/1,223,824
  6. Step 6: Final answer
    x = 5,742,675.16

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