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Finding the Third Proportional to 837,900 and 1,808,640

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Solution

The third proportional to 837,900 and 1,808,640 is: 3,904,020.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,900 : 1,808,640 = 1,808,640 : x
  2. Step 2: Convert to fraction form
    837,900/1,808,640 = 1,808,640/x
  3. Step 3: Cross multiply
    837,900x = 1,808,640 × 1,808,640
  4. Step 4: Simplify right side
    837,900x = 3,271,178,649,600
  5. Step 5: Solve for x
    x = 3,271,178,649,600/837,900
  6. Step 6: Final answer
    x = 3,904,020.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.