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Finding the Third Proportional to 977,049 and 2,152,878.75

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Solution

The third proportional to 977,049 and 2,152,878.75 is: 4,743,760.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,049 : 2,152,878.75 = 2,152,878.75 : x
  2. Step 2: Convert to fraction form
    977,049/2,152,878.75 = 2,152,878.75/x
  3. Step 3: Cross multiply
    977,049x = 2,152,878.75 × 2,152,878.75
  4. Step 4: Simplify right side
    977,049x = 4,634,886,912,201.56
  5. Step 5: Solve for x
    x = 4,634,886,912,201.56/977,049
  6. Step 6: Final answer
    x = 4,743,760.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.