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Finding the Third Proportional to 836,201 and 1,834,798

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Solution

The third proportional to 836,201 and 1,834,798 is: 4,025,926.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,201 : 1,834,798 = 1,834,798 : x
  2. Step 2: Convert to fraction form
    836,201/1,834,798 = 1,834,798/x
  3. Step 3: Cross multiply
    836,201x = 1,834,798 × 1,834,798
  4. Step 4: Simplify right side
    836,201x = 3,366,483,700,804
  5. Step 5: Solve for x
    x = 3,366,483,700,804/836,201
  6. Step 6: Final answer
    x = 4,025,926.42

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.