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Finding the Third Proportional to 902,133 and 1,878,900

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Solution

The third proportional to 902,133 and 1,878,900 is: 3,913,242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,133 : 1,878,900 = 1,878,900 : x
  2. Step 2: Convert to fraction form
    902,133/1,878,900 = 1,878,900/x
  3. Step 3: Cross multiply
    902,133x = 1,878,900 × 1,878,900
  4. Step 4: Simplify right side
    902,133x = 3,530,265,210,000
  5. Step 5: Solve for x
    x = 3,530,265,210,000/902,133
  6. Step 6: Final answer
    x = 3,913,242.52

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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.