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Finding the Third Proportional to 402,706 and 882,912

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Solution

The third proportional to 402,706 and 882,912 is: 1,935,738.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,706 : 882,912 = 882,912 : x
  2. Step 2: Convert to fraction form
    402,706/882,912 = 882,912/x
  3. Step 3: Cross multiply
    402,706x = 882,912 × 882,912
  4. Step 4: Simplify right side
    402,706x = 779,533,599,744
  5. Step 5: Solve for x
    x = 779,533,599,744/402,706
  6. Step 6: Final answer
    x = 1,935,738.73

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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.