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Finding the Third Proportional to 489,007.88 and 1,059,410.63

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Solution

The third proportional to 489,007.88 and 1,059,410.63 is: 2,295,159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,007.88 : 1,059,410.63 = 1,059,410.63 : x
  2. Step 2: Convert to fraction form
    489,007.88/1,059,410.63 = 1,059,410.63/x
  3. Step 3: Cross multiply
    489,007.88x = 1,059,410.63 × 1,059,410.63
  4. Step 4: Simplify right side
    489,007.88x = 1,122,350,872,362.89
  5. Step 5: Solve for x
    x = 1,122,350,872,362.89/489,007.88
  6. Step 6: Final answer
    x = 2,295,159.10

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