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Finding the Third Proportional to 820,698 and 1,852,129

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Solution

The third proportional to 820,698 and 1,852,129 is: 4,179,834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,698 : 1,852,129 = 1,852,129 : x
  2. Step 2: Convert to fraction form
    820,698/1,852,129 = 1,852,129/x
  3. Step 3: Cross multiply
    820,698x = 1,852,129 × 1,852,129
  4. Step 4: Simplify right side
    820,698x = 3,430,381,832,641
  5. Step 5: Solve for x
    x = 3,430,381,832,641/820,698
  6. Step 6: Final answer
    x = 4,179,834.52

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.