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Finding the Third Proportional to 601,580.25 and 1,337,654.25

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Solution

The third proportional to 601,580.25 and 1,337,654.25 is: 2,974,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,580.25 : 1,337,654.25 = 1,337,654.25 : x
  2. Step 2: Convert to fraction form
    601,580.25/1,337,654.25 = 1,337,654.25/x
  3. Step 3: Cross multiply
    601,580.25x = 1,337,654.25 × 1,337,654.25
  4. Step 4: Simplify right side
    601,580.25x = 1,789,318,892,543.06
  5. Step 5: Solve for x
    x = 1,789,318,892,543.06/601,580.25
  6. Step 6: Final answer
    x = 2,974,364.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.