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Finding the Third Proportional to 1,355,347.69 and 2,823,062.63

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Solution

The third proportional to 1,355,347.69 and 2,823,062.63 is: 5,880,175.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355,347.69 : 2,823,062.63 = 2,823,062.63 : x
  2. Step 2: Convert to fraction form
    1,355,347.69/2,823,062.63 = 2,823,062.63/x
  3. Step 3: Cross multiply
    1,355,347.69x = 2,823,062.63 × 2,823,062.63
  4. Step 4: Simplify right side
    1,355,347.69x = 7,969,682,584,671.89
  5. Step 5: Solve for x
    x = 7,969,682,584,671.89/1,355,347.69
  6. Step 6: Final answer
    x = 5,880,175.74

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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.