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Finding the Third Proportional to 446,714 and 973,714

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Solution

The third proportional to 446,714 and 973,714 is: 2,122,429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,714 : 973,714 = 973,714 : x
  2. Step 2: Convert to fraction form
    446,714/973,714 = 973,714/x
  3. Step 3: Cross multiply
    446,714x = 973,714 × 973,714
  4. Step 4: Simplify right side
    446,714x = 948,118,953,796
  5. Step 5: Solve for x
    x = 948,118,953,796/446,714
  6. Step 6: Final answer
    x = 2,122,429.46

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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.