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Finding the Third Proportional to 601,599 and 1,284,381

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Solution

The third proportional to 601,599 and 1,284,381 is: 2,742,083.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,599 : 1,284,381 = 1,284,381 : x
  2. Step 2: Convert to fraction form
    601,599/1,284,381 = 1,284,381/x
  3. Step 3: Cross multiply
    601,599x = 1,284,381 × 1,284,381
  4. Step 4: Simplify right side
    601,599x = 1,649,634,553,161
  5. Step 5: Solve for x
    x = 1,649,634,553,161/601,599
  6. Step 6: Final answer
    x = 2,742,083.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.