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Finding the Third Proportional to 837,824 and 1,808,470

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Solution

The third proportional to 837,824 and 1,808,470 is: 3,903,640.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,824 : 1,808,470 = 1,808,470 : x
  2. Step 2: Convert to fraction form
    837,824/1,808,470 = 1,808,470/x
  3. Step 3: Cross multiply
    837,824x = 1,808,470 × 1,808,470
  4. Step 4: Simplify right side
    837,824x = 3,270,563,740,900
  5. Step 5: Solve for x
    x = 3,270,563,740,900/837,824
  6. Step 6: Final answer
    x = 3,903,640.55

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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.