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Finding the Third Proportional to 788,185 and 1,639,273.50

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Solution

The third proportional to 788,185 and 1,639,273.50 is: 3,409,374.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,185 : 1,639,273.50 = 1,639,273.50 : x
  2. Step 2: Convert to fraction form
    788,185/1,639,273.50 = 1,639,273.50/x
  3. Step 3: Cross multiply
    788,185x = 1,639,273.50 × 1,639,273.50
  4. Step 4: Simplify right side
    788,185x = 2,687,217,607,802.25
  5. Step 5: Solve for x
    x = 2,687,217,607,802.25/788,185
  6. Step 6: Final answer
    x = 3,409,374.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.