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Finding the Third Proportional to 977,566 and 2,044,512

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Solution

The third proportional to 977,566 and 2,044,512 is: 4,275,956.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,566 : 2,044,512 = 2,044,512 : x
  2. Step 2: Convert to fraction form
    977,566/2,044,512 = 2,044,512/x
  3. Step 3: Cross multiply
    977,566x = 2,044,512 × 2,044,512
  4. Step 4: Simplify right side
    977,566x = 4,180,029,318,144
  5. Step 5: Solve for x
    x = 4,180,029,318,144/977,566
  6. Step 6: Final answer
    x = 4,275,956.12

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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.