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Finding the Third Proportional to 466,836 and 1,018,164

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Solution

The third proportional to 466,836 and 1,018,164 is: 2,220,604.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,836 : 1,018,164 = 1,018,164 : x
  2. Step 2: Convert to fraction form
    466,836/1,018,164 = 1,018,164/x
  3. Step 3: Cross multiply
    466,836x = 1,018,164 × 1,018,164
  4. Step 4: Simplify right side
    466,836x = 1,036,657,930,896
  5. Step 5: Solve for x
    x = 1,036,657,930,896/466,836
  6. Step 6: Final answer
    x = 2,220,604.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.