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Finding the Third Proportional to 1,206,108 and 1,638,000

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Solution

The third proportional to 1,206,108 and 1,638,000 is: 2,224,547.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,108 : 1,638,000 = 1,638,000 : x
  2. Step 2: Convert to fraction form
    1,206,108/1,638,000 = 1,638,000/x
  3. Step 3: Cross multiply
    1,206,108x = 1,638,000 × 1,638,000
  4. Step 4: Simplify right side
    1,206,108x = 2,683,044,000,000
  5. Step 5: Solve for x
    x = 2,683,044,000,000/1,206,108
  6. Step 6: Final answer
    x = 2,224,547.06

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.