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Finding the Third Proportional to 873,532 and 1,852,036

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Solution

The third proportional to 873,532 and 1,852,036 is: 3,926,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,532 : 1,852,036 = 1,852,036 : x
  2. Step 2: Convert to fraction form
    873,532/1,852,036 = 1,852,036/x
  3. Step 3: Cross multiply
    873,532x = 1,852,036 × 1,852,036
  4. Step 4: Simplify right side
    873,532x = 3,430,037,345,296
  5. Step 5: Solve for x
    x = 3,430,037,345,296/873,532
  6. Step 6: Final answer
    x = 3,926,630.44

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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.