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Finding the Third Proportional to 1,315,696.92 and 1,968,192.42

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Solution

The third proportional to 1,315,696.92 and 1,968,192.42 is: 2,944,280.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315,696.92 : 1,968,192.42 = 1,968,192.42 : x
  2. Step 2: Convert to fraction form
    1,315,696.92/1,968,192.42 = 1,968,192.42/x
  3. Step 3: Cross multiply
    1,315,696.92x = 1,968,192.42 × 1,968,192.42
  4. Step 4: Simplify right side
    1,315,696.92x = 3,873,781,409,526.18
  5. Step 5: Solve for x
    x = 3,873,781,409,526.18/1,315,696.92
  6. Step 6: Final answer
    x = 2,944,280.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.