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Finding the Third Proportional to 602,197 and 1,309,369

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Solution

The third proportional to 602,197 and 1,309,369 is: 2,846,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,197 : 1,309,369 = 1,309,369 : x
  2. Step 2: Convert to fraction form
    602,197/1,309,369 = 1,309,369/x
  3. Step 3: Cross multiply
    602,197x = 1,309,369 × 1,309,369
  4. Step 4: Simplify right side
    602,197x = 1,714,447,178,161
  5. Step 5: Solve for x
    x = 1,714,447,178,161/602,197
  6. Step 6: Final answer
    x = 2,846,987.25

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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.