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Finding the Third Proportional to 498,830 and 1,207,619

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Solution

The third proportional to 498,830 and 1,207,619 is: 2,923,528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,830 : 1,207,619 = 1,207,619 : x
  2. Step 2: Convert to fraction form
    498,830/1,207,619 = 1,207,619/x
  3. Step 3: Cross multiply
    498,830x = 1,207,619 × 1,207,619
  4. Step 4: Simplify right side
    498,830x = 1,458,343,649,161
  5. Step 5: Solve for x
    x = 1,458,343,649,161/498,830
  6. Step 6: Final answer
    x = 2,923,528.35

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.