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Finding the Third Proportional to 786,594 and 1,848,981

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Solution

The third proportional to 786,594 and 1,848,981 is: 4,346,245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,594 : 1,848,981 = 1,848,981 : x
  2. Step 2: Convert to fraction form
    786,594/1,848,981 = 1,848,981/x
  3. Step 3: Cross multiply
    786,594x = 1,848,981 × 1,848,981
  4. Step 4: Simplify right side
    786,594x = 3,418,730,738,361
  5. Step 5: Solve for x
    x = 3,418,730,738,361/786,594
  6. Step 6: Final answer
    x = 4,346,245.63

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.