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Finding the Third Proportional to 616,676.50 and 1,300,834

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Solution

The third proportional to 616,676.50 and 1,300,834 is: 2,744,014.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,676.50 : 1,300,834 = 1,300,834 : x
  2. Step 2: Convert to fraction form
    616,676.50/1,300,834 = 1,300,834/x
  3. Step 3: Cross multiply
    616,676.50x = 1,300,834 × 1,300,834
  4. Step 4: Simplify right side
    616,676.50x = 1,692,169,095,556
  5. Step 5: Solve for x
    x = 1,692,169,095,556/616,676.50
  6. Step 6: Final answer
    x = 2,744,014.24

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.