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Finding the Third Proportional to 771,696 and 1,671,696

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Solution

The third proportional to 771,696 and 1,671,696 is: 3,621,332.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,696 : 1,671,696 = 1,671,696 : x
  2. Step 2: Convert to fraction form
    771,696/1,671,696 = 1,671,696/x
  3. Step 3: Cross multiply
    771,696x = 1,671,696 × 1,671,696
  4. Step 4: Simplify right side
    771,696x = 2,794,567,516,416
  5. Step 5: Solve for x
    x = 2,794,567,516,416/771,696
  6. Step 6: Final answer
    x = 3,621,332.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.