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Finding the Third Proportional to 786,846 and 1,847,559

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Solution

The third proportional to 786,846 and 1,847,559 is: 4,338,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,846 : 1,847,559 = 1,847,559 : x
  2. Step 2: Convert to fraction form
    786,846/1,847,559 = 1,847,559/x
  3. Step 3: Cross multiply
    786,846x = 1,847,559 × 1,847,559
  4. Step 4: Simplify right side
    786,846x = 3,413,474,258,481
  5. Step 5: Solve for x
    x = 3,413,474,258,481/786,846
  6. Step 6: Final answer
    x = 4,338,173.24

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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.