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Finding the Third Proportional to 953,031 and 1,481,824.50

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Solution

The third proportional to 953,031 and 1,481,824.50 is: 2,304,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,031 : 1,481,824.50 = 1,481,824.50 : x
  2. Step 2: Convert to fraction form
    953,031/1,481,824.50 = 1,481,824.50/x
  3. Step 3: Cross multiply
    953,031x = 1,481,824.50 × 1,481,824.50
  4. Step 4: Simplify right side
    953,031x = 2,195,803,848,800.25
  5. Step 5: Solve for x
    x = 2,195,803,848,800.25/953,031
  6. Step 6: Final answer
    x = 2,304,021.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.