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Finding the Third Proportional to 635,133 and 1,362,363

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Solution

The third proportional to 635,133 and 1,362,363 is: 2,922,274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,133 : 1,362,363 = 1,362,363 : x
  2. Step 2: Convert to fraction form
    635,133/1,362,363 = 1,362,363/x
  3. Step 3: Cross multiply
    635,133x = 1,362,363 × 1,362,363
  4. Step 4: Simplify right side
    635,133x = 1,856,032,943,769
  5. Step 5: Solve for x
    x = 1,856,032,943,769/635,133
  6. Step 6: Final answer
    x = 2,922,274.46

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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.