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Finding the Third Proportional to 902,100 and 2,097,708

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Solution

The third proportional to 902,100 and 2,097,708 is: 4,877,928.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,100 : 2,097,708 = 2,097,708 : x
  2. Step 2: Convert to fraction form
    902,100/2,097,708 = 2,097,708/x
  3. Step 3: Cross multiply
    902,100x = 2,097,708 × 2,097,708
  4. Step 4: Simplify right side
    902,100x = 4,400,378,853,264
  5. Step 5: Solve for x
    x = 4,400,378,853,264/902,100
  6. Step 6: Final answer
    x = 4,877,928.00

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.