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Finding the Third Proportional to 578,496 and 1,245,894

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Solution

The third proportional to 578,496 and 1,245,894 is: 2,683,254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,496 : 1,245,894 = 1,245,894 : x
  2. Step 2: Convert to fraction form
    578,496/1,245,894 = 1,245,894/x
  3. Step 3: Cross multiply
    578,496x = 1,245,894 × 1,245,894
  4. Step 4: Simplify right side
    578,496x = 1,552,251,859,236
  5. Step 5: Solve for x
    x = 1,552,251,859,236/578,496
  6. Step 6: Final answer
    x = 2,683,254.26

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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.