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Finding the Third Proportional to 1,315,869.75 and 1,983,525.19

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Solution

The third proportional to 1,315,869.75 and 1,983,525.19 is: 2,989,940.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315,869.75 : 1,983,525.19 = 1,983,525.19 : x
  2. Step 2: Convert to fraction form
    1,315,869.75/1,983,525.19 = 1,983,525.19/x
  3. Step 3: Cross multiply
    1,315,869.75x = 1,983,525.19 × 1,983,525.19
  4. Step 4: Simplify right side
    1,315,869.75x = 3,934,372,169,446.91
  5. Step 5: Solve for x
    x = 3,934,372,169,446.91/1,315,869.75
  6. Step 6: Final answer
    x = 2,989,940.43

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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.