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Finding the Third Proportional to 621,664 and 1,333,936

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Solution

The third proportional to 621,664 and 1,333,936 is: 2,862,294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,664 : 1,333,936 = 1,333,936 : x
  2. Step 2: Convert to fraction form
    621,664/1,333,936 = 1,333,936/x
  3. Step 3: Cross multiply
    621,664x = 1,333,936 × 1,333,936
  4. Step 4: Simplify right side
    621,664x = 1,779,385,252,096
  5. Step 5: Solve for x
    x = 1,779,385,252,096/621,664
  6. Step 6: Final answer
    x = 2,862,294.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.