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Finding the Third Proportional to 602,203 and 1,309,381

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Solution

The third proportional to 602,203 and 1,309,381 is: 2,847,011.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,203 : 1,309,381 = 1,309,381 : x
  2. Step 2: Convert to fraction form
    602,203/1,309,381 = 1,309,381/x
  3. Step 3: Cross multiply
    602,203x = 1,309,381 × 1,309,381
  4. Step 4: Simplify right side
    602,203x = 1,714,478,603,161
  5. Step 5: Solve for x
    x = 1,714,478,603,161/602,203
  6. Step 6: Final answer
    x = 2,847,011.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.