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Finding the Third Proportional to 556,275 and 1,196,381

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Solution

The third proportional to 556,275 and 1,196,381 is: 2,573,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,275 : 1,196,381 = 1,196,381 : x
  2. Step 2: Convert to fraction form
    556,275/1,196,381 = 1,196,381/x
  3. Step 3: Cross multiply
    556,275x = 1,196,381 × 1,196,381
  4. Step 4: Simplify right side
    556,275x = 1,431,327,497,161
  5. Step 5: Solve for x
    x = 1,431,327,497,161/556,275
  6. Step 6: Final answer
    x = 2,573,057.39

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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.