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Finding the Third Proportional to 748,035 and 1,645,515

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Solution

The third proportional to 748,035 and 1,645,515 is: 3,619,776.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,035 : 1,645,515 = 1,645,515 : x
  2. Step 2: Convert to fraction form
    748,035/1,645,515 = 1,645,515/x
  3. Step 3: Cross multiply
    748,035x = 1,645,515 × 1,645,515
  4. Step 4: Simplify right side
    748,035x = 2,707,719,615,225
  5. Step 5: Solve for x
    x = 2,707,719,615,225/748,035
  6. Step 6: Final answer
    x = 3,619,776.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.