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Finding the Third Proportional to 977,581 and 2,044,542

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Solution

The third proportional to 977,581 and 2,044,542 is: 4,276,015.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,581 : 2,044,542 = 2,044,542 : x
  2. Step 2: Convert to fraction form
    977,581/2,044,542 = 2,044,542/x
  3. Step 3: Cross multiply
    977,581x = 2,044,542 × 2,044,542
  4. Step 4: Simplify right side
    977,581x = 4,180,151,989,764
  5. Step 5: Solve for x
    x = 4,180,151,989,764/977,581
  6. Step 6: Final answer
    x = 4,276,015.99

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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.