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Finding the Third Proportional to 820,048.50 and 1,774,881

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Solution

The third proportional to 820,048.50 and 1,774,881 is: 3,841,483.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,048.50 : 1,774,881 = 1,774,881 : x
  2. Step 2: Convert to fraction form
    820,048.50/1,774,881 = 1,774,881/x
  3. Step 3: Cross multiply
    820,048.50x = 1,774,881 × 1,774,881
  4. Step 4: Simplify right side
    820,048.50x = 3,150,202,564,161
  5. Step 5: Solve for x
    x = 3,150,202,564,161/820,048.50
  6. Step 6: Final answer
    x = 3,841,483.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.