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Finding the Third Proportional to 894.47 and 1,970.63

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Solution

The third proportional to 894.47 and 1,970.63 is: 4,341.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.47 : 1,970.63 = 1,970.63 : x
  2. Step 2: Convert to fraction form
    894.47/1,970.63 = 1,970.63/x
  3. Step 3: Cross multiply
    894.47x = 1,970.63 × 1,970.63
  4. Step 4: Simplify right side
    894.47x = 3,883,362.89
  5. Step 5: Solve for x
    x = 3,883,362.89/894.47
  6. Step 6: Final answer
    x = 4,341.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.