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Finding the Third Proportional to 1,536,810 and 2,310,174

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Solution

The third proportional to 1,536,810 and 2,310,174 is: 3,472,715.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,810 : 2,310,174 = 2,310,174 : x
  2. Step 2: Convert to fraction form
    1,536,810/2,310,174 = 2,310,174/x
  3. Step 3: Cross multiply
    1,536,810x = 2,310,174 × 2,310,174
  4. Step 4: Simplify right side
    1,536,810x = 5,336,903,910,276
  5. Step 5: Solve for x
    x = 5,336,903,910,276/1,536,810
  6. Step 6: Final answer
    x = 3,472,715.50

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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.