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Finding the Third Proportional to 574,654 and 1,208,861

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Solution

The third proportional to 574,654 and 1,208,861 is: 2,542,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,654 : 1,208,861 = 1,208,861 : x
  2. Step 2: Convert to fraction form
    574,654/1,208,861 = 1,208,861/x
  3. Step 3: Cross multiply
    574,654x = 1,208,861 × 1,208,861
  4. Step 4: Simplify right side
    574,654x = 1,461,344,917,321
  5. Step 5: Solve for x
    x = 1,461,344,917,321/574,654
  6. Step 6: Final answer
    x = 2,542,999.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.