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Finding the Third Proportional to 829,176 and 1,710,696

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Solution

The third proportional to 829,176 and 1,710,696 is: 3,529,384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,176 : 1,710,696 = 1,710,696 : x
  2. Step 2: Convert to fraction form
    829,176/1,710,696 = 1,710,696/x
  3. Step 3: Cross multiply
    829,176x = 1,710,696 × 1,710,696
  4. Step 4: Simplify right side
    829,176x = 2,926,480,804,416
  5. Step 5: Solve for x
    x = 2,926,480,804,416/829,176
  6. Step 6: Final answer
    x = 3,529,384.36

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.