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Finding the Third Proportional to 612,144 and 950,184

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Solution

The third proportional to 612,144 and 950,184 is: 1,474,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,144 : 950,184 = 950,184 : x
  2. Step 2: Convert to fraction form
    612,144/950,184 = 950,184/x
  3. Step 3: Cross multiply
    612,144x = 950,184 × 950,184
  4. Step 4: Simplify right side
    612,144x = 902,849,633,856
  5. Step 5: Solve for x
    x = 902,849,633,856/612,144
  6. Step 6: Final answer
    x = 1,474,897.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.