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Finding the Third Proportional to 415,458 and 903,828

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Solution

The third proportional to 415,458 and 903,828 is: 1,966,275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,458 : 903,828 = 903,828 : x
  2. Step 2: Convert to fraction form
    415,458/903,828 = 903,828/x
  3. Step 3: Cross multiply
    415,458x = 903,828 × 903,828
  4. Step 4: Simplify right side
    415,458x = 816,905,053,584
  5. Step 5: Solve for x
    x = 816,905,053,584/415,458
  6. Step 6: Final answer
    x = 1,966,275.90

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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.