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Finding the Third Proportional to 601,106 and 899,775

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Solution

The third proportional to 601,106 and 899,775 is: 1,346,842.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,106 : 899,775 = 899,775 : x
  2. Step 2: Convert to fraction form
    601,106/899,775 = 899,775/x
  3. Step 3: Cross multiply
    601,106x = 899,775 × 899,775
  4. Step 4: Simplify right side
    601,106x = 809,595,050,625
  5. Step 5: Solve for x
    x = 809,595,050,625/601,106
  6. Step 6: Final answer
    x = 1,346,842.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.