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Finding the Third Proportional to 838,454 and 1,809,700

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Solution

The third proportional to 838,454 and 1,809,700 is: 3,906,015.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,454 : 1,809,700 = 1,809,700 : x
  2. Step 2: Convert to fraction form
    838,454/1,809,700 = 1,809,700/x
  3. Step 3: Cross multiply
    838,454x = 1,809,700 × 1,809,700
  4. Step 4: Simplify right side
    838,454x = 3,275,014,090,000
  5. Step 5: Solve for x
    x = 3,275,014,090,000/838,454
  6. Step 6: Final answer
    x = 3,906,015.23

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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.