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Finding the Third Proportional to 1,312,332.47 and 2,729,423.25

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Solution

The third proportional to 1,312,332.47 and 2,729,423.25 is: 5,676,725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312,332.47 : 2,729,423.25 = 2,729,423.25 : x
  2. Step 2: Convert to fraction form
    1,312,332.47/2,729,423.25 = 2,729,423.25/x
  3. Step 3: Cross multiply
    1,312,332.47x = 2,729,423.25 × 2,729,423.25
  4. Step 4: Simplify right side
    1,312,332.47x = 7,449,751,277,640.56
  5. Step 5: Solve for x
    x = 7,449,751,277,640.56/1,312,332.47
  6. Step 6: Final answer
    x = 5,676,725.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.