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Finding the Third Proportional to 931,900 and 1,472,934

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Solution

The third proportional to 931,900 and 1,472,934 is: 2,328,076.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,900 : 1,472,934 = 1,472,934 : x
  2. Step 2: Convert to fraction form
    931,900/1,472,934 = 1,472,934/x
  3. Step 3: Cross multiply
    931,900x = 1,472,934 × 1,472,934
  4. Step 4: Simplify right side
    931,900x = 2,169,534,568,356
  5. Step 5: Solve for x
    x = 2,169,534,568,356/931,900
  6. Step 6: Final answer
    x = 2,328,076.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.