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Finding the Third Proportional to 832,740 and 1,791,780

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Solution

The third proportional to 832,740 and 1,791,780 is: 3,855,315.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,740 : 1,791,780 = 1,791,780 : x
  2. Step 2: Convert to fraction form
    832,740/1,791,780 = 1,791,780/x
  3. Step 3: Cross multiply
    832,740x = 1,791,780 × 1,791,780
  4. Step 4: Simplify right side
    832,740x = 3,210,475,568,400
  5. Step 5: Solve for x
    x = 3,210,475,568,400/832,740
  6. Step 6: Final answer
    x = 3,855,315.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.