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Finding the Third Proportional to 449,696 and 963,148

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Solution

The third proportional to 449,696 and 963,148 is: 2,062,847.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,696 : 963,148 = 963,148 : x
  2. Step 2: Convert to fraction form
    449,696/963,148 = 963,148/x
  3. Step 3: Cross multiply
    449,696x = 963,148 × 963,148
  4. Step 4: Simplify right side
    449,696x = 927,654,069,904
  5. Step 5: Solve for x
    x = 927,654,069,904/449,696
  6. Step 6: Final answer
    x = 2,062,847.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.