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Finding the Third Proportional to 1,400,417.44 and 2,852,224.31

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Solution

The third proportional to 1,400,417.44 and 2,852,224.31 is: 5,809,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400,417.44 : 2,852,224.31 = 2,852,224.31 : x
  2. Step 2: Convert to fraction form
    1,400,417.44/2,852,224.31 = 2,852,224.31/x
  3. Step 3: Cross multiply
    1,400,417.44x = 2,852,224.31 × 2,852,224.31
  4. Step 4: Simplify right side
    1,400,417.44x = 8,135,183,528,816.10
  5. Step 5: Solve for x
    x = 8,135,183,528,816.10/1,400,417.44
  6. Step 6: Final answer
    x = 5,809,113.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.