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Finding the Third Proportional to 829,786 and 1,810,370

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Solution

The third proportional to 829,786 and 1,810,370 is: 3,949,740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,786 : 1,810,370 = 1,810,370 : x
  2. Step 2: Convert to fraction form
    829,786/1,810,370 = 1,810,370/x
  3. Step 3: Cross multiply
    829,786x = 1,810,370 × 1,810,370
  4. Step 4: Simplify right side
    829,786x = 3,277,439,536,900
  5. Step 5: Solve for x
    x = 3,277,439,536,900/829,786
  6. Step 6: Final answer
    x = 3,949,740.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.