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Finding the Third Proportional to 609,423 and 1,410,622.50

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Solution

The third proportional to 609,423 and 1,410,622.50 is: 3,265,147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,423 : 1,410,622.50 = 1,410,622.50 : x
  2. Step 2: Convert to fraction form
    609,423/1,410,622.50 = 1,410,622.50/x
  3. Step 3: Cross multiply
    609,423x = 1,410,622.50 × 1,410,622.50
  4. Step 4: Simplify right side
    609,423x = 1,989,855,837,506.25
  5. Step 5: Solve for x
    x = 1,989,855,837,506.25/609,423
  6. Step 6: Final answer
    x = 3,265,147.26

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.