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Finding the Third Proportional to 1,450,256 and 2,038,654

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Solution

The third proportional to 1,450,256 and 2,038,654 is: 2,865,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450,256 : 2,038,654 = 2,038,654 : x
  2. Step 2: Convert to fraction form
    1,450,256/2,038,654 = 2,038,654/x
  3. Step 3: Cross multiply
    1,450,256x = 2,038,654 × 2,038,654
  4. Step 4: Simplify right side
    1,450,256x = 4,156,110,131,716
  5. Step 5: Solve for x
    x = 4,156,110,131,716/1,450,256
  6. Step 6: Final answer
    x = 2,865,776.89

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.