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Finding the Third Proportional to 656,434 and 1,545,505

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Solution

The third proportional to 656,434 and 1,545,505 is: 3,638,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,434 : 1,545,505 = 1,545,505 : x
  2. Step 2: Convert to fraction form
    656,434/1,545,505 = 1,545,505/x
  3. Step 3: Cross multiply
    656,434x = 1,545,505 × 1,545,505
  4. Step 4: Simplify right side
    656,434x = 2,388,585,705,025
  5. Step 5: Solve for x
    x = 2,388,585,705,025/656,434
  6. Step 6: Final answer
    x = 3,638,729.42

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.