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Finding the Third Proportional to 768,411.56 and 1,669,680.84

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Solution

The third proportional to 768,411.56 and 1,669,680.84 is: 3,628,048.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,411.56 : 1,669,680.84 = 1,669,680.84 : x
  2. Step 2: Convert to fraction form
    768,411.56/1,669,680.84 = 1,669,680.84/x
  3. Step 3: Cross multiply
    768,411.56x = 1,669,680.84 × 1,669,680.84
  4. Step 4: Simplify right side
    768,411.56x = 2,787,834,119,985.71
  5. Step 5: Solve for x
    x = 2,787,834,119,985.71/768,411.56
  6. Step 6: Final answer
    x = 3,628,048.11

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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.