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Finding the Third Proportional to 873,527 and 1,852,015

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Solution

The third proportional to 873,527 and 1,852,015 is: 3,926,563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,527 : 1,852,015 = 1,852,015 : x
  2. Step 2: Convert to fraction form
    873,527/1,852,015 = 1,852,015/x
  3. Step 3: Cross multiply
    873,527x = 1,852,015 × 1,852,015
  4. Step 4: Simplify right side
    873,527x = 3,429,959,560,225
  5. Step 5: Solve for x
    x = 3,429,959,560,225/873,527
  6. Step 6: Final answer
    x = 3,926,563.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.