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Finding the Third Proportional to 601,842 and 934,899

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Solution

The third proportional to 601,842 and 934,899 is: 1,452,268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,842 : 934,899 = 934,899 : x
  2. Step 2: Convert to fraction form
    601,842/934,899 = 934,899/x
  3. Step 3: Cross multiply
    601,842x = 934,899 × 934,899
  4. Step 4: Simplify right side
    601,842x = 874,036,140,201
  5. Step 5: Solve for x
    x = 874,036,140,201/601,842
  6. Step 6: Final answer
    x = 1,452,268.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.