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Finding the Third Proportional to 1,178,084 and 2,513,548

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Solution

The third proportional to 1,178,084 and 2,513,548 is: 5,362,880.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,084 : 2,513,548 = 2,513,548 : x
  2. Step 2: Convert to fraction form
    1,178,084/2,513,548 = 2,513,548/x
  3. Step 3: Cross multiply
    1,178,084x = 2,513,548 × 2,513,548
  4. Step 4: Simplify right side
    1,178,084x = 6,317,923,548,304
  5. Step 5: Solve for x
    x = 6,317,923,548,304/1,178,084
  6. Step 6: Final answer
    x = 5,362,880.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.