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Finding the Third Proportional to 743,541 and 1,595,019

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Solution

The third proportional to 743,541 and 1,595,019 is: 3,421,580.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,541 : 1,595,019 = 1,595,019 : x
  2. Step 2: Convert to fraction form
    743,541/1,595,019 = 1,595,019/x
  3. Step 3: Cross multiply
    743,541x = 1,595,019 × 1,595,019
  4. Step 4: Simplify right side
    743,541x = 2,544,085,610,361
  5. Step 5: Solve for x
    x = 2,544,085,610,361/743,541
  6. Step 6: Final answer
    x = 3,421,580.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.