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Finding the Third Proportional to 998,714.50 and 2,157,043

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Solution

The third proportional to 998,714.50 and 2,157,043 is: 4,658,823.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,714.50 : 2,157,043 = 2,157,043 : x
  2. Step 2: Convert to fraction form
    998,714.50/2,157,043 = 2,157,043/x
  3. Step 3: Cross multiply
    998,714.50x = 2,157,043 × 2,157,043
  4. Step 4: Simplify right side
    998,714.50x = 4,652,834,503,849
  5. Step 5: Solve for x
    x = 4,652,834,503,849/998,714.50
  6. Step 6: Final answer
    x = 4,658,823.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.