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Finding the Third Proportional to 449,465 and 965,633

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Solution

The third proportional to 449,465 and 965,633 is: 2,074,571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,465 : 965,633 = 965,633 : x
  2. Step 2: Convert to fraction form
    449,465/965,633 = 965,633/x
  3. Step 3: Cross multiply
    449,465x = 965,633 × 965,633
  4. Step 4: Simplify right side
    449,465x = 932,447,090,689
  5. Step 5: Solve for x
    x = 932,447,090,689/449,465
  6. Step 6: Final answer
    x = 2,074,571.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.