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Finding the Third Proportional to 977,049.84 and 2,152,873.69

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Solution

The third proportional to 977,049.84 and 2,152,873.69 is: 4,743,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,049.84 : 2,152,873.69 = 2,152,873.69 : x
  2. Step 2: Convert to fraction form
    977,049.84/2,152,873.69 = 2,152,873.69/x
  3. Step 3: Cross multiply
    977,049.84x = 2,152,873.69 × 2,152,873.69
  4. Step 4: Simplify right side
    977,049.84x = 4,634,865,114,329.85
  5. Step 5: Solve for x
    x = 4,634,865,114,329.85/977,049.84
  6. Step 6: Final answer
    x = 4,743,734.56

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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.