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Finding the Third Proportional to 596,496 and 1,306,392

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Solution

The third proportional to 596,496 and 1,306,392 is: 2,861,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,496 : 1,306,392 = 1,306,392 : x
  2. Step 2: Convert to fraction form
    596,496/1,306,392 = 1,306,392/x
  3. Step 3: Cross multiply
    596,496x = 1,306,392 × 1,306,392
  4. Step 4: Simplify right side
    596,496x = 1,706,660,057,664
  5. Step 5: Solve for x
    x = 1,706,660,057,664/596,496
  6. Step 6: Final answer
    x = 2,861,142.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.