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Finding the Third Proportional to 374,548 and 819,164

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Solution

The third proportional to 374,548 and 819,164 is: 1,791,571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,548 : 819,164 = 819,164 : x
  2. Step 2: Convert to fraction form
    374,548/819,164 = 819,164/x
  3. Step 3: Cross multiply
    374,548x = 819,164 × 819,164
  4. Step 4: Simplify right side
    374,548x = 671,029,658,896
  5. Step 5: Solve for x
    x = 671,029,658,896/374,548
  6. Step 6: Final answer
    x = 1,791,571.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.