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Finding the Third Proportional to 383,967 and 837,810

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Solution

The third proportional to 383,967 and 837,810 is: 1,828,088.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,967 : 837,810 = 837,810 : x
  2. Step 2: Convert to fraction form
    383,967/837,810 = 837,810/x
  3. Step 3: Cross multiply
    383,967x = 837,810 × 837,810
  4. Step 4: Simplify right side
    383,967x = 701,925,596,100
  5. Step 5: Solve for x
    x = 701,925,596,100/383,967
  6. Step 6: Final answer
    x = 1,828,088.34

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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.