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Finding the Third Proportional to 612,491 and 894,544

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Solution

The third proportional to 612,491 and 894,544 is: 1,306,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,491 : 894,544 = 894,544 : x
  2. Step 2: Convert to fraction form
    612,491/894,544 = 894,544/x
  3. Step 3: Cross multiply
    612,491x = 894,544 × 894,544
  4. Step 4: Simplify right side
    612,491x = 800,208,967,936
  5. Step 5: Solve for x
    x = 800,208,967,936/612,491
  6. Step 6: Final answer
    x = 1,306,482.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.