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Finding the Third Proportional to 715,435 and 1,565,370

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Solution

The third proportional to 715,435 and 1,565,370 is: 3,425,025.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,435 : 1,565,370 = 1,565,370 : x
  2. Step 2: Convert to fraction form
    715,435/1,565,370 = 1,565,370/x
  3. Step 3: Cross multiply
    715,435x = 1,565,370 × 1,565,370
  4. Step 4: Simplify right side
    715,435x = 2,450,383,236,900
  5. Step 5: Solve for x
    x = 2,450,383,236,900/715,435
  6. Step 6: Final answer
    x = 3,425,025.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.