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Finding the Third Proportional to 414,705 and 846,906

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Solution

The third proportional to 414,705 and 846,906 is: 1,729,542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,705 : 846,906 = 846,906 : x
  2. Step 2: Convert to fraction form
    414,705/846,906 = 846,906/x
  3. Step 3: Cross multiply
    414,705x = 846,906 × 846,906
  4. Step 4: Simplify right side
    414,705x = 717,249,772,836
  5. Step 5: Solve for x
    x = 717,249,772,836/414,705
  6. Step 6: Final answer
    x = 1,729,542.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.