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Finding the Third Proportional to 1,405,433 and 2,223,264

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Solution

The third proportional to 1,405,433 and 2,223,264 is: 3,516,996.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405,433 : 2,223,264 = 2,223,264 : x
  2. Step 2: Convert to fraction form
    1,405,433/2,223,264 = 2,223,264/x
  3. Step 3: Cross multiply
    1,405,433x = 2,223,264 × 2,223,264
  4. Step 4: Simplify right side
    1,405,433x = 4,942,902,813,696
  5. Step 5: Solve for x
    x = 4,942,902,813,696/1,405,433
  6. Step 6: Final answer
    x = 3,516,996.41

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.