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Finding the Third Proportional to 616,128 and 902,832

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Solution

The third proportional to 616,128 and 902,832 is: 1,322,948.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,128 : 902,832 = 902,832 : x
  2. Step 2: Convert to fraction form
    616,128/902,832 = 902,832/x
  3. Step 3: Cross multiply
    616,128x = 902,832 × 902,832
  4. Step 4: Simplify right side
    616,128x = 815,105,620,224
  5. Step 5: Solve for x
    x = 815,105,620,224/616,128
  6. Step 6: Final answer
    x = 1,322,948.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.