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Finding the Third Proportional to 961,684 and 1,415,310

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Solution

The third proportional to 961,684 and 1,415,310 is: 2,082,911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,684 : 1,415,310 = 1,415,310 : x
  2. Step 2: Convert to fraction form
    961,684/1,415,310 = 1,415,310/x
  3. Step 3: Cross multiply
    961,684x = 1,415,310 × 1,415,310
  4. Step 4: Simplify right side
    961,684x = 2,003,102,396,100
  5. Step 5: Solve for x
    x = 2,003,102,396,100/961,684
  6. Step 6: Final answer
    x = 2,082,911.22

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.