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Finding the Third Proportional to 601,302 and 1,295,628

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Solution

The third proportional to 601,302 and 1,295,628 is: 2,791,695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,302 : 1,295,628 = 1,295,628 : x
  2. Step 2: Convert to fraction form
    601,302/1,295,628 = 1,295,628/x
  3. Step 3: Cross multiply
    601,302x = 1,295,628 × 1,295,628
  4. Step 4: Simplify right side
    601,302x = 1,678,651,914,384
  5. Step 5: Solve for x
    x = 1,678,651,914,384/601,302
  6. Step 6: Final answer
    x = 2,791,695.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.