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Finding the Third Proportional to 1,616,256 and 2,424,384

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Solution

The third proportional to 1,616,256 and 2,424,384 is: 3,636,576

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616,256 : 2,424,384 = 2,424,384 : x
  2. Step 2: Convert to fraction form
    1,616,256/2,424,384 = 2,424,384/x
  3. Step 3: Cross multiply
    1,616,256x = 2,424,384 × 2,424,384
  4. Step 4: Simplify right side
    1,616,256x = 5,877,637,779,456
  5. Step 5: Solve for x
    x = 5,877,637,779,456/1,616,256
  6. Step 6: Final answer
    x = 3,636,576

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.