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Finding the Third Proportional to 977,584.50 and 2,044,566

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Solution

The third proportional to 977,584.50 and 2,044,566 is: 4,276,101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,584.50 : 2,044,566 = 2,044,566 : x
  2. Step 2: Convert to fraction form
    977,584.50/2,044,566 = 2,044,566/x
  3. Step 3: Cross multiply
    977,584.50x = 2,044,566 × 2,044,566
  4. Step 4: Simplify right side
    977,584.50x = 4,180,250,128,356
  5. Step 5: Solve for x
    x = 4,180,250,128,356/977,584.50
  6. Step 6: Final answer
    x = 4,276,101.07

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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.