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Finding the Third Proportional to 977,595 and 2,044,563

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Solution

The third proportional to 977,595 and 2,044,563 is: 4,276,042.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,595 : 2,044,563 = 2,044,563 : x
  2. Step 2: Convert to fraction form
    977,595/2,044,563 = 2,044,563/x
  3. Step 3: Cross multiply
    977,595x = 2,044,563 × 2,044,563
  4. Step 4: Simplify right side
    977,595x = 4,180,237,860,969
  5. Step 5: Solve for x
    x = 4,180,237,860,969/977,595
  6. Step 6: Final answer
    x = 4,276,042.60

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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.