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Finding the Third Proportional to 763,569 and 1,645,155

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Solution

The third proportional to 763,569 and 1,645,155 is: 3,544,584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,569 : 1,645,155 = 1,645,155 : x
  2. Step 2: Convert to fraction form
    763,569/1,645,155 = 1,645,155/x
  3. Step 3: Cross multiply
    763,569x = 1,645,155 × 1,645,155
  4. Step 4: Simplify right side
    763,569x = 2,706,534,974,025
  5. Step 5: Solve for x
    x = 2,706,534,974,025/763,569
  6. Step 6: Final answer
    x = 3,544,584.67

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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.