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Finding the Third Proportional to 446,630 and 973,564

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Solution

The third proportional to 446,630 and 973,564 is: 2,122,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,630 : 973,564 = 973,564 : x
  2. Step 2: Convert to fraction form
    446,630/973,564 = 973,564/x
  3. Step 3: Cross multiply
    446,630x = 973,564 × 973,564
  4. Step 4: Simplify right side
    446,630x = 947,826,862,096
  5. Step 5: Solve for x
    x = 947,826,862,096/446,630
  6. Step 6: Final answer
    x = 2,122,174.65

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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.