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Finding the Third Proportional to 771,840 and 2,048,719.50

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Solution

The third proportional to 771,840 and 2,048,719.50 is: 5,437,981.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,840 : 2,048,719.50 = 2,048,719.50 : x
  2. Step 2: Convert to fraction form
    771,840/2,048,719.50 = 2,048,719.50/x
  3. Step 3: Cross multiply
    771,840x = 2,048,719.50 × 2,048,719.50
  4. Step 4: Simplify right side
    771,840x = 4,197,251,589,680.25
  5. Step 5: Solve for x
    x = 4,197,251,589,680.25/771,840
  6. Step 6: Final answer
    x = 5,437,981.43

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.