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Finding the Third Proportional to 1,651,315.50 and 2,325,426.19

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Solution

The third proportional to 1,651,315.50 and 2,325,426.19 is: 3,274,726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651,315.50 : 2,325,426.19 = 2,325,426.19 : x
  2. Step 2: Convert to fraction form
    1,651,315.50/2,325,426.19 = 2,325,426.19/x
  3. Step 3: Cross multiply
    1,651,315.50x = 2,325,426.19 × 2,325,426.19
  4. Step 4: Simplify right side
    1,651,315.50x = 5,407,606,953,510.79
  5. Step 5: Solve for x
    x = 5,407,606,953,510.79/1,651,315.50
  6. Step 6: Final answer
    x = 3,274,726.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.