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Finding the Third Proportional to 449,078 and 968,140

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Solution

The third proportional to 449,078 and 968,140 is: 2,087,154.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,078 : 968,140 = 968,140 : x
  2. Step 2: Convert to fraction form
    449,078/968,140 = 968,140/x
  3. Step 3: Cross multiply
    449,078x = 968,140 × 968,140
  4. Step 4: Simplify right side
    449,078x = 937,295,059,600
  5. Step 5: Solve for x
    x = 937,295,059,600/449,078
  6. Step 6: Final answer
    x = 2,087,154.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.