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Finding the Third Proportional to 1,371,824 and 3,009,256

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Solution

The third proportional to 1,371,824 and 3,009,256 is: 6,601,154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371,824 : 3,009,256 = 3,009,256 : x
  2. Step 2: Convert to fraction form
    1,371,824/3,009,256 = 3,009,256/x
  3. Step 3: Cross multiply
    1,371,824x = 3,009,256 × 3,009,256
  4. Step 4: Simplify right side
    1,371,824x = 9,055,621,673,536
  5. Step 5: Solve for x
    x = 9,055,621,673,536/1,371,824
  6. Step 6: Final answer
    x = 6,601,154.14

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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.