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Finding the Third Proportional to 786,124.13 and 1,675,199.25

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Solution

The third proportional to 786,124.13 and 1,675,199.25 is: 3,569,782.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,124.13 : 1,675,199.25 = 1,675,199.25 : x
  2. Step 2: Convert to fraction form
    786,124.13/1,675,199.25 = 1,675,199.25/x
  3. Step 3: Cross multiply
    786,124.13x = 1,675,199.25 × 1,675,199.25
  4. Step 4: Simplify right side
    786,124.13x = 2,806,292,527,200.56
  5. Step 5: Solve for x
    x = 2,806,292,527,200.56/786,124.13
  6. Step 6: Final answer
    x = 3,569,782.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.