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Finding the Third Proportional to 446,870 and 957,712

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Solution

The third proportional to 446,870 and 957,712 is: 2,052,525.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,870 : 957,712 = 957,712 : x
  2. Step 2: Convert to fraction form
    446,870/957,712 = 957,712/x
  3. Step 3: Cross multiply
    446,870x = 957,712 × 957,712
  4. Step 4: Simplify right side
    446,870x = 917,212,274,944
  5. Step 5: Solve for x
    x = 917,212,274,944/446,870
  6. Step 6: Final answer
    x = 2,052,525.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.