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Finding the Third Proportional to 487,609 and 1,174,674

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Solution

The third proportional to 487,609 and 1,174,674 is: 2,829,847.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,609 : 1,174,674 = 1,174,674 : x
  2. Step 2: Convert to fraction form
    487,609/1,174,674 = 1,174,674/x
  3. Step 3: Cross multiply
    487,609x = 1,174,674 × 1,174,674
  4. Step 4: Simplify right side
    487,609x = 1,379,859,006,276
  5. Step 5: Solve for x
    x = 1,379,859,006,276/487,609
  6. Step 6: Final answer
    x = 2,829,847.29

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.