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Finding the Third Proportional to 4,602,100 and 7,203,606

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Solution

The third proportional to 4,602,100 and 7,203,606 is: 11,275,708.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602,100 : 7,203,606 = 7,203,606 : x
  2. Step 2: Convert to fraction form
    4,602,100/7,203,606 = 7,203,606/x
  3. Step 3: Cross multiply
    4,602,100x = 7,203,606 × 7,203,606
  4. Step 4: Simplify right side
    4,602,100x = 51,891,939,403,236
  5. Step 5: Solve for x
    x = 51,891,939,403,236/4,602,100
  6. Step 6: Final answer
    x = 11,275,708.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.