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Finding the Third Proportional to 968,838 and 1,512,119

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Solution

The third proportional to 968,838 and 1,512,119 is: 2,360,047.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,838 : 1,512,119 = 1,512,119 : x
  2. Step 2: Convert to fraction form
    968,838/1,512,119 = 1,512,119/x
  3. Step 3: Cross multiply
    968,838x = 1,512,119 × 1,512,119
  4. Step 4: Simplify right side
    968,838x = 2,286,503,870,161
  5. Step 5: Solve for x
    x = 2,286,503,870,161/968,838
  6. Step 6: Final answer
    x = 2,360,047.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.