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Finding the Third Proportional to 684,013.50 and 1,525,311

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Solution

The third proportional to 684,013.50 and 1,525,311 is: 3,401,356.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,013.50 : 1,525,311 = 1,525,311 : x
  2. Step 2: Convert to fraction form
    684,013.50/1,525,311 = 1,525,311/x
  3. Step 3: Cross multiply
    684,013.50x = 1,525,311 × 1,525,311
  4. Step 4: Simplify right side
    684,013.50x = 2,326,573,646,721
  5. Step 5: Solve for x
    x = 2,326,573,646,721/684,013.50
  6. Step 6: Final answer
    x = 3,401,356.33

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.