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Finding the Third Proportional to 468,405.91 and 1,007,855.16

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Solution

The third proportional to 468,405.91 and 1,007,855.16 is: 2,168,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,405.91 : 1,007,855.16 = 1,007,855.16 : x
  2. Step 2: Convert to fraction form
    468,405.91/1,007,855.16 = 1,007,855.16/x
  3. Step 3: Cross multiply
    468,405.91x = 1,007,855.16 × 1,007,855.16
  4. Step 4: Simplify right side
    468,405.91x = 1,015,772,015,979.71
  5. Step 5: Solve for x
    x = 1,015,772,015,979.71/468,405.91
  6. Step 6: Final answer
    x = 2,168,572.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.