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Finding the Third Proportional to 597,182 and 1,299,337

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Solution

The third proportional to 597,182 and 1,299,337 is: 2,827,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,182 : 1,299,337 = 1,299,337 : x
  2. Step 2: Convert to fraction form
    597,182/1,299,337 = 1,299,337/x
  3. Step 3: Cross multiply
    597,182x = 1,299,337 × 1,299,337
  4. Step 4: Simplify right side
    597,182x = 1,688,276,639,569
  5. Step 5: Solve for x
    x = 1,688,276,639,569/597,182
  6. Step 6: Final answer
    x = 2,827,072.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.