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Finding the Third Proportional to 901,102 and 2,095,291

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Solution

The third proportional to 901,102 and 2,095,291 is: 4,872,083.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,102 : 2,095,291 = 2,095,291 : x
  2. Step 2: Convert to fraction form
    901,102/2,095,291 = 2,095,291/x
  3. Step 3: Cross multiply
    901,102x = 2,095,291 × 2,095,291
  4. Step 4: Simplify right side
    901,102x = 4,390,244,374,681
  5. Step 5: Solve for x
    x = 4,390,244,374,681/901,102
  6. Step 6: Final answer
    x = 4,872,083.71

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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.