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Finding the Third Proportional to 901,098 and 2,095,281

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Solution

The third proportional to 901,098 and 2,095,281 is: 4,872,058.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,098 : 2,095,281 = 2,095,281 : x
  2. Step 2: Convert to fraction form
    901,098/2,095,281 = 2,095,281/x
  3. Step 3: Cross multiply
    901,098x = 2,095,281 × 2,095,281
  4. Step 4: Simplify right side
    901,098x = 4,390,202,468,961
  5. Step 5: Solve for x
    x = 4,390,202,468,961/901,098
  6. Step 6: Final answer
    x = 4,872,058.83

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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.