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Finding the Third Proportional to 528,032.25 and 1,135,640.25

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Solution

The third proportional to 528,032.25 and 1,135,640.25 is: 2,442,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,032.25 : 1,135,640.25 = 1,135,640.25 : x
  2. Step 2: Convert to fraction form
    528,032.25/1,135,640.25 = 1,135,640.25/x
  3. Step 3: Cross multiply
    528,032.25x = 1,135,640.25 × 1,135,640.25
  4. Step 4: Simplify right side
    528,032.25x = 1,289,678,777,420.06
  5. Step 5: Solve for x
    x = 1,289,678,777,420.06/528,032.25
  6. Step 6: Final answer
    x = 2,442,424.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.