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Finding the Third Proportional to 684,960.05 and 1,486,641.73

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Solution

The third proportional to 684,960.05 and 1,486,641.73 is: 3,226,616.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,960.05 : 1,486,641.73 = 1,486,641.73 : x
  2. Step 2: Convert to fraction form
    684,960.05/1,486,641.73 = 1,486,641.73/x
  3. Step 3: Cross multiply
    684,960.05x = 1,486,641.73 × 1,486,641.73
  4. Step 4: Simplify right side
    684,960.05x = 2,210,103,623,156.73
  5. Step 5: Solve for x
    x = 2,210,103,623,156.73/684,960.05
  6. Step 6: Final answer
    x = 3,226,616.84

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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.