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Finding the Third Proportional to 890,292 and 1,972,716

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Solution

The third proportional to 890,292 and 1,972,716 is: 4,371,159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,292 : 1,972,716 = 1,972,716 : x
  2. Step 2: Convert to fraction form
    890,292/1,972,716 = 1,972,716/x
  3. Step 3: Cross multiply
    890,292x = 1,972,716 × 1,972,716
  4. Step 4: Simplify right side
    890,292x = 3,891,608,416,656
  5. Step 5: Solve for x
    x = 3,891,608,416,656/890,292
  6. Step 6: Final answer
    x = 4,371,159.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.