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Finding the Third Proportional to 977,600 and 2,044,573

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Solution

The third proportional to 977,600 and 2,044,573 is: 4,276,062.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,600 : 2,044,573 = 2,044,573 : x
  2. Step 2: Convert to fraction form
    977,600/2,044,573 = 2,044,573/x
  3. Step 3: Cross multiply
    977,600x = 2,044,573 × 2,044,573
  4. Step 4: Simplify right side
    977,600x = 4,180,278,752,329
  5. Step 5: Solve for x
    x = 4,180,278,752,329/977,600
  6. Step 6: Final answer
    x = 4,276,062.55

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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.