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Finding the Third Proportional to 537,414 and 812,169

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Solution

The third proportional to 537,414 and 812,169 is: 1,227,393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,414 : 812,169 = 812,169 : x
  2. Step 2: Convert to fraction form
    537,414/812,169 = 812,169/x
  3. Step 3: Cross multiply
    537,414x = 812,169 × 812,169
  4. Step 4: Simplify right side
    537,414x = 659,618,484,561
  5. Step 5: Solve for x
    x = 659,618,484,561/537,414
  6. Step 6: Final answer
    x = 1,227,393.56

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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.