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Finding the Third Proportional to 446,848 and 957,658

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Solution

The third proportional to 446,848 and 957,658 is: 2,052,395.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,848 : 957,658 = 957,658 : x
  2. Step 2: Convert to fraction form
    446,848/957,658 = 957,658/x
  3. Step 3: Cross multiply
    446,848x = 957,658 × 957,658
  4. Step 4: Simplify right side
    446,848x = 917,108,844,964
  5. Step 5: Solve for x
    x = 917,108,844,964/446,848
  6. Step 6: Final answer
    x = 2,052,395.55

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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.