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Finding the Third Proportional to 4,257,072 and 6,261,120

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Solution

The third proportional to 4,257,072 and 6,261,120 is: 9,208,588.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257,072 : 6,261,120 = 6,261,120 : x
  2. Step 2: Convert to fraction form
    4,257,072/6,261,120 = 6,261,120/x
  3. Step 3: Cross multiply
    4,257,072x = 6,261,120 × 6,261,120
  4. Step 4: Simplify right side
    4,257,072x = 39,201,623,654,400
  5. Step 5: Solve for x
    x = 39,201,623,654,400/4,257,072
  6. Step 6: Final answer
    x = 9,208,588.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.