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Finding the Third Proportional to 1,902,080 and 2,954,688

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Solution

The third proportional to 1,902,080 and 2,954,688 is: 4,589,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902,080 : 2,954,688 = 2,954,688 : x
  2. Step 2: Convert to fraction form
    1,902,080/2,954,688 = 2,954,688/x
  3. Step 3: Cross multiply
    1,902,080x = 2,954,688 × 2,954,688
  4. Step 4: Simplify right side
    1,902,080x = 8,730,181,177,344
  5. Step 5: Solve for x
    x = 8,730,181,177,344/1,902,080
  6. Step 6: Final answer
    x = 4,589,807.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.