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Finding the Third Proportional to 902,606.41 and 1,402,114.75

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Solution

The third proportional to 902,606.41 and 1,402,114.75 is: 2,178,054.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,606.41 : 1,402,114.75 = 1,402,114.75 : x
  2. Step 2: Convert to fraction form
    902,606.41/1,402,114.75 = 1,402,114.75/x
  3. Step 3: Cross multiply
    902,606.41x = 1,402,114.75 × 1,402,114.75
  4. Step 4: Simplify right side
    902,606.41x = 1,965,925,761,213.68
  5. Step 5: Solve for x
    x = 1,965,925,761,213.68/902,606.41
  6. Step 6: Final answer
    x = 2,178,054.28

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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.