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Finding the Third Proportional to 405,072 and 893,088

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Solution

The third proportional to 405,072 and 893,088 is: 1,969,047.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,072 : 893,088 = 893,088 : x
  2. Step 2: Convert to fraction form
    405,072/893,088 = 893,088/x
  3. Step 3: Cross multiply
    405,072x = 893,088 × 893,088
  4. Step 4: Simplify right side
    405,072x = 797,606,175,744
  5. Step 5: Solve for x
    x = 797,606,175,744/405,072
  6. Step 6: Final answer
    x = 1,969,047.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.