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Finding the Third Proportional to 498,695 and 1,097,020

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Solution

The third proportional to 498,695 and 1,097,020 is: 2,413,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,695 : 1,097,020 = 1,097,020 : x
  2. Step 2: Convert to fraction form
    498,695/1,097,020 = 1,097,020/x
  3. Step 3: Cross multiply
    498,695x = 1,097,020 × 1,097,020
  4. Step 4: Simplify right side
    498,695x = 1,203,452,880,400
  5. Step 5: Solve for x
    x = 1,203,452,880,400/498,695
  6. Step 6: Final answer
    x = 2,413,204.22

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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.