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Finding the Third Proportional to 877,185 and 1,322,257

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Solution

The third proportional to 877,185 and 1,322,257 is: 1,993,152.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,185 : 1,322,257 = 1,322,257 : x
  2. Step 2: Convert to fraction form
    877,185/1,322,257 = 1,322,257/x
  3. Step 3: Cross multiply
    877,185x = 1,322,257 × 1,322,257
  4. Step 4: Simplify right side
    877,185x = 1,748,363,574,049
  5. Step 5: Solve for x
    x = 1,748,363,574,049/877,185
  6. Step 6: Final answer
    x = 1,993,152.61

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Why These Related Problems?

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