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Finding the Third Proportional to 447,146 and 958,276

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Solution

The third proportional to 447,146 and 958,276 is: 2,053,675.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,146 : 958,276 = 958,276 : x
  2. Step 2: Convert to fraction form
    447,146/958,276 = 958,276/x
  3. Step 3: Cross multiply
    447,146x = 958,276 × 958,276
  4. Step 4: Simplify right side
    447,146x = 918,292,892,176
  5. Step 5: Solve for x
    x = 918,292,892,176/447,146
  6. Step 6: Final answer
    x = 2,053,675.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.