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Finding the Third Proportional to 623,198 and 1,355,764

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Solution

The third proportional to 623,198 and 1,355,764 is: 2,949,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,198 : 1,355,764 = 1,355,764 : x
  2. Step 2: Convert to fraction form
    623,198/1,355,764 = 1,355,764/x
  3. Step 3: Cross multiply
    623,198x = 1,355,764 × 1,355,764
  4. Step 4: Simplify right side
    623,198x = 1,838,096,023,696
  5. Step 5: Solve for x
    x = 1,838,096,023,696/623,198
  6. Step 6: Final answer
    x = 2,949,457.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.