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Finding the Third Proportional to 415,465 and 903,723

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Solution

The third proportional to 415,465 and 903,723 is: 1,965,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,465 : 903,723 = 903,723 : x
  2. Step 2: Convert to fraction form
    415,465/903,723 = 903,723/x
  3. Step 3: Cross multiply
    415,465x = 903,723 × 903,723
  4. Step 4: Simplify right side
    415,465x = 816,715,260,729
  5. Step 5: Solve for x
    x = 816,715,260,729/415,465
  6. Step 6: Final answer
    x = 1,965,785.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.