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Finding the Third Proportional to 713,114 and 1,566,176

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Solution

The third proportional to 713,114 and 1,566,176 is: 3,439,712.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,114 : 1,566,176 = 1,566,176 : x
  2. Step 2: Convert to fraction form
    713,114/1,566,176 = 1,566,176/x
  3. Step 3: Cross multiply
    713,114x = 1,566,176 × 1,566,176
  4. Step 4: Simplify right side
    713,114x = 2,452,907,262,976
  5. Step 5: Solve for x
    x = 2,452,907,262,976/713,114
  6. Step 6: Final answer
    x = 3,439,712.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.