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Finding the Third Proportional to 950,410 and 1,256,271

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Solution

The third proportional to 950,410 and 1,256,271 is: 1,660,564.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,410 : 1,256,271 = 1,256,271 : x
  2. Step 2: Convert to fraction form
    950,410/1,256,271 = 1,256,271/x
  3. Step 3: Cross multiply
    950,410x = 1,256,271 × 1,256,271
  4. Step 4: Simplify right side
    950,410x = 1,578,216,825,441
  5. Step 5: Solve for x
    x = 1,578,216,825,441/950,410
  6. Step 6: Final answer
    x = 1,660,564.20

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