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Finding the Third Proportional to 727,450.88 and 1,475,644.08

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Solution

The third proportional to 727,450.88 and 1,475,644.08 is: 2,993,364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,450.88 : 1,475,644.08 = 1,475,644.08 : x
  2. Step 2: Convert to fraction form
    727,450.88/1,475,644.08 = 1,475,644.08/x
  3. Step 3: Cross multiply
    727,450.88x = 1,475,644.08 × 1,475,644.08
  4. Step 4: Simplify right side
    727,450.88x = 2,177,525,445,305.38
  5. Step 5: Solve for x
    x = 2,177,525,445,305.38/727,450.88
  6. Step 6: Final answer
    x = 2,993,364.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.