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Finding the Third Proportional to 597,272 and 1,299,519

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Solution

The third proportional to 597,272 and 1,299,519 is: 2,827,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,272 : 1,299,519 = 1,299,519 : x
  2. Step 2: Convert to fraction form
    597,272/1,299,519 = 1,299,519/x
  3. Step 3: Cross multiply
    597,272x = 1,299,519 × 1,299,519
  4. Step 4: Simplify right side
    597,272x = 1,688,749,631,361
  5. Step 5: Solve for x
    x = 1,688,749,631,361/597,272
  6. Step 6: Final answer
    x = 2,827,438.14

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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.