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Finding the Third Proportional to 537,416 and 812,172

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Solution

The third proportional to 537,416 and 812,172 is: 1,227,398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,416 : 812,172 = 812,172 : x
  2. Step 2: Convert to fraction form
    537,416/812,172 = 812,172/x
  3. Step 3: Cross multiply
    537,416x = 812,172 × 812,172
  4. Step 4: Simplify right side
    537,416x = 659,623,357,584
  5. Step 5: Solve for x
    x = 659,623,357,584/537,416
  6. Step 6: Final answer
    x = 1,227,398.06

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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.