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Finding the Third Proportional to 2,009,054.25 and 3,032,264.25

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Solution

The third proportional to 2,009,054.25 and 3,032,264.25 is: 4,576,594.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009,054.25 : 3,032,264.25 = 3,032,264.25 : x
  2. Step 2: Convert to fraction form
    2,009,054.25/3,032,264.25 = 3,032,264.25/x
  3. Step 3: Cross multiply
    2,009,054.25x = 3,032,264.25 × 3,032,264.25
  4. Step 4: Simplify right side
    2,009,054.25x = 9,194,626,481,828.06
  5. Step 5: Solve for x
    x = 9,194,626,481,828.06/2,009,054.25
  6. Step 6: Final answer
    x = 4,576,594.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.