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Finding the Third Proportional to 463,420.50 and 1,015,419

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Solution

The third proportional to 463,420.50 and 1,015,419 is: 2,224,924.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,420.50 : 1,015,419 = 1,015,419 : x
  2. Step 2: Convert to fraction form
    463,420.50/1,015,419 = 1,015,419/x
  3. Step 3: Cross multiply
    463,420.50x = 1,015,419 × 1,015,419
  4. Step 4: Simplify right side
    463,420.50x = 1,031,075,745,561
  5. Step 5: Solve for x
    x = 1,031,075,745,561/463,420.50
  6. Step 6: Final answer
    x = 2,224,924.76

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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.