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Finding the Third Proportional to 786,882 and 1,685,958

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Solution

The third proportional to 786,882 and 1,685,958 is: 3,612,300.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,882 : 1,685,958 = 1,685,958 : x
  2. Step 2: Convert to fraction form
    786,882/1,685,958 = 1,685,958/x
  3. Step 3: Cross multiply
    786,882x = 1,685,958 × 1,685,958
  4. Step 4: Simplify right side
    786,882x = 2,842,454,377,764
  5. Step 5: Solve for x
    x = 2,842,454,377,764/786,882
  6. Step 6: Final answer
    x = 3,612,300.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.