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Finding the Third Proportional to 489,032 and 1,059,448.50

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Solution

The third proportional to 489,032 and 1,059,448.50 is: 2,295,209.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,032 : 1,059,448.50 = 1,059,448.50 : x
  2. Step 2: Convert to fraction form
    489,032/1,059,448.50 = 1,059,448.50/x
  3. Step 3: Cross multiply
    489,032x = 1,059,448.50 × 1,059,448.50
  4. Step 4: Simplify right side
    489,032x = 1,122,431,124,152.25
  5. Step 5: Solve for x
    x = 1,122,431,124,152.25/489,032
  6. Step 6: Final answer
    x = 2,295,209.97

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Why These Related Problems?

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