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Finding the Third Proportional to 415,700 and 895,512

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Solution

The third proportional to 415,700 and 895,512 is: 1,929,135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,700 : 895,512 = 895,512 : x
  2. Step 2: Convert to fraction form
    415,700/895,512 = 895,512/x
  3. Step 3: Cross multiply
    415,700x = 895,512 × 895,512
  4. Step 4: Simplify right side
    415,700x = 801,941,742,144
  5. Step 5: Solve for x
    x = 801,941,742,144/415,700
  6. Step 6: Final answer
    x = 1,929,135.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.