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Finding the Third Proportional to 598,363 and 1,296,419

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Solution

The third proportional to 598,363 and 1,296,419 is: 2,808,833.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,363 : 1,296,419 = 1,296,419 : x
  2. Step 2: Convert to fraction form
    598,363/1,296,419 = 1,296,419/x
  3. Step 3: Cross multiply
    598,363x = 1,296,419 × 1,296,419
  4. Step 4: Simplify right side
    598,363x = 1,680,702,223,561
  5. Step 5: Solve for x
    x = 1,680,702,223,561/598,363
  6. Step 6: Final answer
    x = 2,808,833.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.