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Finding the Third Proportional to 512,006 and 1,117,178

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Solution

The third proportional to 512,006 and 1,117,178 is: 2,437,640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,006 : 1,117,178 = 1,117,178 : x
  2. Step 2: Convert to fraction form
    512,006/1,117,178 = 1,117,178/x
  3. Step 3: Cross multiply
    512,006x = 1,117,178 × 1,117,178
  4. Step 4: Simplify right side
    512,006x = 1,248,086,683,684
  5. Step 5: Solve for x
    x = 1,248,086,683,684/512,006
  6. Step 6: Final answer
    x = 2,437,640.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.