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Finding the Third Proportional to 663,000.75 and 1,447,431.75

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Solution

The third proportional to 663,000.75 and 1,447,431.75 is: 3,159,964.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,000.75 : 1,447,431.75 = 1,447,431.75 : x
  2. Step 2: Convert to fraction form
    663,000.75/1,447,431.75 = 1,447,431.75/x
  3. Step 3: Cross multiply
    663,000.75x = 1,447,431.75 × 1,447,431.75
  4. Step 4: Simplify right side
    663,000.75x = 2,095,058,670,908.06
  5. Step 5: Solve for x
    x = 2,095,058,670,908.06/663,000.75
  6. Step 6: Final answer
    x = 3,159,964.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.