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Finding the Third Proportional to 822,478 and 1,903,918

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Solution

The third proportional to 822,478 and 1,903,918 is: 4,407,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,478 : 1,903,918 = 1,903,918 : x
  2. Step 2: Convert to fraction form
    822,478/1,903,918 = 1,903,918/x
  3. Step 3: Cross multiply
    822,478x = 1,903,918 × 1,903,918
  4. Step 4: Simplify right side
    822,478x = 3,624,903,750,724
  5. Step 5: Solve for x
    x = 3,624,903,750,724/822,478
  6. Step 6: Final answer
    x = 4,407,295.70

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.