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Finding the Third Proportional to 402,692 and 882,884

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Solution

The third proportional to 402,692 and 882,884 is: 1,935,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,692 : 882,884 = 882,884 : x
  2. Step 2: Convert to fraction form
    402,692/882,884 = 882,884/x
  3. Step 3: Cross multiply
    402,692x = 882,884 × 882,884
  4. Step 4: Simplify right side
    402,692x = 779,484,157,456
  5. Step 5: Solve for x
    x = 779,484,157,456/402,692
  6. Step 6: Final answer
    x = 1,935,683.25

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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.