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Finding the Third Proportional to 869,262 and 1,329,735

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Solution

The third proportional to 869,262 and 1,329,735 is: 2,034,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,262 : 1,329,735 = 1,329,735 : x
  2. Step 2: Convert to fraction form
    869,262/1,329,735 = 1,329,735/x
  3. Step 3: Cross multiply
    869,262x = 1,329,735 × 1,329,735
  4. Step 4: Simplify right side
    869,262x = 1,768,195,170,225
  5. Step 5: Solve for x
    x = 1,768,195,170,225/869,262
  6. Step 6: Final answer
    x = 2,034,133.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.