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Finding the Third Proportional to 415,426 and 903,750

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Solution

The third proportional to 415,426 and 903,750 is: 1,966,087.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,426 : 903,750 = 903,750 : x
  2. Step 2: Convert to fraction form
    415,426/903,750 = 903,750/x
  3. Step 3: Cross multiply
    415,426x = 903,750 × 903,750
  4. Step 4: Simplify right side
    415,426x = 816,764,062,500
  5. Step 5: Solve for x
    x = 816,764,062,500/415,426
  6. Step 6: Final answer
    x = 1,966,087.97

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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.