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Finding the Third Proportional to 902,114.09 and 1,868,172.61

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Solution

The third proportional to 902,114.09 and 1,868,172.61 is: 3,868,766.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,114.09 : 1,868,172.61 = 1,868,172.61 : x
  2. Step 2: Convert to fraction form
    902,114.09/1,868,172.61 = 1,868,172.61/x
  3. Step 3: Cross multiply
    902,114.09x = 1,868,172.61 × 1,868,172.61
  4. Step 4: Simplify right side
    902,114.09x = 3,490,068,898,419.00
  5. Step 5: Solve for x
    x = 3,490,068,898,419.00/902,114.09
  6. Step 6: Final answer
    x = 3,868,766.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.