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Finding the Third Proportional to 383,618 and 896,009

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Solution

The third proportional to 383,618 and 896,009 is: 2,092,790.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,618 : 896,009 = 896,009 : x
  2. Step 2: Convert to fraction form
    383,618/896,009 = 896,009/x
  3. Step 3: Cross multiply
    383,618x = 896,009 × 896,009
  4. Step 4: Simplify right side
    383,618x = 802,832,128,081
  5. Step 5: Solve for x
    x = 802,832,128,081/383,618
  6. Step 6: Final answer
    x = 2,092,790.56

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.