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Finding the Third Proportional to 537,412 and 812,166

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Solution

The third proportional to 537,412 and 812,166 is: 1,227,389.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,412 : 812,166 = 812,166 : x
  2. Step 2: Convert to fraction form
    537,412/812,166 = 812,166/x
  3. Step 3: Cross multiply
    537,412x = 812,166 × 812,166
  4. Step 4: Simplify right side
    537,412x = 659,613,611,556
  5. Step 5: Solve for x
    x = 659,613,611,556/537,412
  6. Step 6: Final answer
    x = 1,227,389.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.