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Finding the Third Proportional to 1,520,311.78 and 2,047,756.78

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Solution

The third proportional to 1,520,311.78 and 2,047,756.78 is: 2,758,189.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520,311.78 : 2,047,756.78 = 2,047,756.78 : x
  2. Step 2: Convert to fraction form
    1,520,311.78/2,047,756.78 = 2,047,756.78/x
  3. Step 3: Cross multiply
    1,520,311.78x = 2,047,756.78 × 2,047,756.78
  4. Step 4: Simplify right side
    1,520,311.78x = 4,193,307,835,155.36
  5. Step 5: Solve for x
    x = 4,193,307,835,155.36/1,520,311.78
  6. Step 6: Final answer
    x = 2,758,189.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.