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Finding the Third Proportional to 1,146,780 and 1,821,872.25

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Solution

The third proportional to 1,146,780 and 1,821,872.25 is: 2,894,381.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146,780 : 1,821,872.25 = 1,821,872.25 : x
  2. Step 2: Convert to fraction form
    1,146,780/1,821,872.25 = 1,821,872.25/x
  3. Step 3: Cross multiply
    1,146,780x = 1,821,872.25 × 1,821,872.25
  4. Step 4: Simplify right side
    1,146,780x = 3,319,218,495,320.06
  5. Step 5: Solve for x
    x = 3,319,218,495,320.06/1,146,780
  6. Step 6: Final answer
    x = 2,894,381.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.