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Finding the Third Proportional to 457,072 and 936,416

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Solution

The third proportional to 457,072 and 936,416 is: 1,918,461.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,072 : 936,416 = 936,416 : x
  2. Step 2: Convert to fraction form
    457,072/936,416 = 936,416/x
  3. Step 3: Cross multiply
    457,072x = 936,416 × 936,416
  4. Step 4: Simplify right side
    457,072x = 876,874,925,056
  5. Step 5: Solve for x
    x = 876,874,925,056/457,072
  6. Step 6: Final answer
    x = 1,918,461.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.