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Finding the Third Proportional to 786,305 and 1,848,389

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Solution

The third proportional to 786,305 and 1,848,389 is: 4,345,059.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,305 : 1,848,389 = 1,848,389 : x
  2. Step 2: Convert to fraction form
    786,305/1,848,389 = 1,848,389/x
  3. Step 3: Cross multiply
    786,305x = 1,848,389 × 1,848,389
  4. Step 4: Simplify right side
    786,305x = 3,416,541,895,321
  5. Step 5: Solve for x
    x = 3,416,541,895,321/786,305
  6. Step 6: Final answer
    x = 4,345,059.35

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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.