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Finding the Third Proportional to 488,604 and 1,029,696

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Solution

The third proportional to 488,604 and 1,029,696 is: 2,170,006.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,604 : 1,029,696 = 1,029,696 : x
  2. Step 2: Convert to fraction form
    488,604/1,029,696 = 1,029,696/x
  3. Step 3: Cross multiply
    488,604x = 1,029,696 × 1,029,696
  4. Step 4: Simplify right side
    488,604x = 1,060,273,852,416
  5. Step 5: Solve for x
    x = 1,060,273,852,416/488,604
  6. Step 6: Final answer
    x = 2,170,006.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.