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Finding the Third Proportional to 977,599 and 2,044,571

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Solution

The third proportional to 977,599 and 2,044,571 is: 4,276,058.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,599 : 2,044,571 = 2,044,571 : x
  2. Step 2: Convert to fraction form
    977,599/2,044,571 = 2,044,571/x
  3. Step 3: Cross multiply
    977,599x = 2,044,571 × 2,044,571
  4. Step 4: Simplify right side
    977,599x = 4,180,270,574,041
  5. Step 5: Solve for x
    x = 4,180,270,574,041/977,599
  6. Step 6: Final answer
    x = 4,276,058.56

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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.