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Finding the Third Proportional to 873,616 and 1,370,696

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Solution

The third proportional to 873,616 and 1,370,696 is: 2,150,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,616 : 1,370,696 = 1,370,696 : x
  2. Step 2: Convert to fraction form
    873,616/1,370,696 = 1,370,696/x
  3. Step 3: Cross multiply
    873,616x = 1,370,696 × 1,370,696
  4. Step 4: Simplify right side
    873,616x = 1,878,807,524,416
  5. Step 5: Solve for x
    x = 1,878,807,524,416/873,616
  6. Step 6: Final answer
    x = 2,150,610.25

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.