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Finding the Third Proportional to 640,614 and 1,481,034

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Solution

The third proportional to 640,614 and 1,481,034 is: 3,423,999.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,614 : 1,481,034 = 1,481,034 : x
  2. Step 2: Convert to fraction form
    640,614/1,481,034 = 1,481,034/x
  3. Step 3: Cross multiply
    640,614x = 1,481,034 × 1,481,034
  4. Step 4: Simplify right side
    640,614x = 2,193,461,709,156
  5. Step 5: Solve for x
    x = 2,193,461,709,156/640,614
  6. Step 6: Final answer
    x = 3,423,999.02

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