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Finding the Third Proportional to 877,196 and 1,322,271

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Solution

The third proportional to 877,196 and 1,322,271 is: 1,993,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,196 : 1,322,271 = 1,322,271 : x
  2. Step 2: Convert to fraction form
    877,196/1,322,271 = 1,322,271/x
  3. Step 3: Cross multiply
    877,196x = 1,322,271 × 1,322,271
  4. Step 4: Simplify right side
    877,196x = 1,748,400,597,441
  5. Step 5: Solve for x
    x = 1,748,400,597,441/877,196
  6. Step 6: Final answer
    x = 1,993,169.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.