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Finding the Third Proportional to 916,404 and 1,916,265

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Solution

The third proportional to 916,404 and 1,916,265 is: 4,007,044.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,404 : 1,916,265 = 1,916,265 : x
  2. Step 2: Convert to fraction form
    916,404/1,916,265 = 1,916,265/x
  3. Step 3: Cross multiply
    916,404x = 1,916,265 × 1,916,265
  4. Step 4: Simplify right side
    916,404x = 3,672,071,550,225
  5. Step 5: Solve for x
    x = 3,672,071,550,225/916,404
  6. Step 6: Final answer
    x = 4,007,044.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.