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Finding the Third Proportional to 802,896 and 1,211,148

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Solution

The third proportional to 802,896 and 1,211,148 is: 1,826,985.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,896 : 1,211,148 = 1,211,148 : x
  2. Step 2: Convert to fraction form
    802,896/1,211,148 = 1,211,148/x
  3. Step 3: Cross multiply
    802,896x = 1,211,148 × 1,211,148
  4. Step 4: Simplify right side
    802,896x = 1,466,879,477,904
  5. Step 5: Solve for x
    x = 1,466,879,477,904/802,896
  6. Step 6: Final answer
    x = 1,826,985.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.