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Finding the Third Proportional to 565,514 and 1,196,476

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Solution

The third proportional to 565,514 and 1,196,476 is: 2,531,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,514 : 1,196,476 = 1,196,476 : x
  2. Step 2: Convert to fraction form
    565,514/1,196,476 = 1,196,476/x
  3. Step 3: Cross multiply
    565,514x = 1,196,476 × 1,196,476
  4. Step 4: Simplify right side
    565,514x = 1,431,554,818,576
  5. Step 5: Solve for x
    x = 1,431,554,818,576/565,514
  6. Step 6: Final answer
    x = 2,531,422.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.