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Finding the Third Proportional to 840,184 and 1,843,664

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Solution

The third proportional to 840,184 and 1,843,664 is: 4,045,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,184 : 1,843,664 = 1,843,664 : x
  2. Step 2: Convert to fraction form
    840,184/1,843,664 = 1,843,664/x
  3. Step 3: Cross multiply
    840,184x = 1,843,664 × 1,843,664
  4. Step 4: Simplify right side
    840,184x = 3,399,096,944,896
  5. Step 5: Solve for x
    x = 3,399,096,944,896/840,184
  6. Step 6: Final answer
    x = 4,045,657.79

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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.