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Finding the Third Proportional to 623,454.47 and 1,340,146.90

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Solution

The third proportional to 623,454.47 and 1,340,146.90 is: 2,880,713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,454.47 : 1,340,146.90 = 1,340,146.90 : x
  2. Step 2: Convert to fraction form
    623,454.47/1,340,146.90 = 1,340,146.90/x
  3. Step 3: Cross multiply
    623,454.47x = 1,340,146.90 × 1,340,146.90
  4. Step 4: Simplify right side
    623,454.47x = 1,795,993,709,391.65
  5. Step 5: Solve for x
    x = 1,795,993,709,391.65/623,454.47
  6. Step 6: Final answer
    x = 2,880,713.51

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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.