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Finding the Third Proportional to 977,559 and 2,044,498

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Solution

The third proportional to 977,559 and 2,044,498 is: 4,275,928.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,559 : 2,044,498 = 2,044,498 : x
  2. Step 2: Convert to fraction form
    977,559/2,044,498 = 2,044,498/x
  3. Step 3: Cross multiply
    977,559x = 2,044,498 × 2,044,498
  4. Step 4: Simplify right side
    977,559x = 4,179,972,072,004
  5. Step 5: Solve for x
    x = 4,179,972,072,004/977,559
  6. Step 6: Final answer
    x = 4,275,928.18

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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.