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Finding the Third Proportional to 463,186 and 1,009,604

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Solution

The third proportional to 463,186 and 1,009,604 is: 2,200,628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,186 : 1,009,604 = 1,009,604 : x
  2. Step 2: Convert to fraction form
    463,186/1,009,604 = 1,009,604/x
  3. Step 3: Cross multiply
    463,186x = 1,009,604 × 1,009,604
  4. Step 4: Simplify right side
    463,186x = 1,019,300,236,816
  5. Step 5: Solve for x
    x = 1,019,300,236,816/463,186
  6. Step 6: Final answer
    x = 2,200,628.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.