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Finding the Third Proportional to 687,619.50 and 1,503,024

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Solution

The third proportional to 687,619.50 and 1,503,024 is: 3,285,365.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,619.50 : 1,503,024 = 1,503,024 : x
  2. Step 2: Convert to fraction form
    687,619.50/1,503,024 = 1,503,024/x
  3. Step 3: Cross multiply
    687,619.50x = 1,503,024 × 1,503,024
  4. Step 4: Simplify right side
    687,619.50x = 2,259,081,144,576
  5. Step 5: Solve for x
    x = 2,259,081,144,576/687,619.50
  6. Step 6: Final answer
    x = 3,285,365.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.