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Finding the Third Proportional to 965,316 and 1,269,396

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Solution

The third proportional to 965,316 and 1,269,396 is: 1,669,262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,316 : 1,269,396 = 1,269,396 : x
  2. Step 2: Convert to fraction form
    965,316/1,269,396 = 1,269,396/x
  3. Step 3: Cross multiply
    965,316x = 1,269,396 × 1,269,396
  4. Step 4: Simplify right side
    965,316x = 1,611,366,204,816
  5. Step 5: Solve for x
    x = 1,611,366,204,816/965,316
  6. Step 6: Final answer
    x = 1,669,262.92

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.