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Finding the Third Proportional to 635,184 and 1,362,465

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Solution

The third proportional to 635,184 and 1,362,465 is: 2,922,477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,184 : 1,362,465 = 1,362,465 : x
  2. Step 2: Convert to fraction form
    635,184/1,362,465 = 1,362,465/x
  3. Step 3: Cross multiply
    635,184x = 1,362,465 × 1,362,465
  4. Step 4: Simplify right side
    635,184x = 1,856,310,876,225
  5. Step 5: Solve for x
    x = 1,856,310,876,225/635,184
  6. Step 6: Final answer
    x = 2,922,477.39

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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.