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Finding the Third Proportional to 977,064.75 and 2,122,327.78

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Solution

The third proportional to 977,064.75 and 2,122,327.78 is: 4,610,006.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,064.75 : 2,122,327.78 = 2,122,327.78 : x
  2. Step 2: Convert to fraction form
    977,064.75/2,122,327.78 = 2,122,327.78/x
  3. Step 3: Cross multiply
    977,064.75x = 2,122,327.78 × 2,122,327.78
  4. Step 4: Simplify right side
    977,064.75x = 4,504,275,211,065.55
  5. Step 5: Solve for x
    x = 4,504,275,211,065.55/977,064.75
  6. Step 6: Final answer
    x = 4,610,006.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.