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Finding the Third Proportional to 2,531,583 and 5,157,174

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Solution

The third proportional to 2,531,583 and 5,157,174 is: 10,505,854.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531,583 : 5,157,174 = 5,157,174 : x
  2. Step 2: Convert to fraction form
    2,531,583/5,157,174 = 5,157,174/x
  3. Step 3: Cross multiply
    2,531,583x = 5,157,174 × 5,157,174
  4. Step 4: Simplify right side
    2,531,583x = 26,596,443,666,276
  5. Step 5: Solve for x
    x = 26,596,443,666,276/2,531,583
  6. Step 6: Final answer
    x = 10,505,854.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.