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Finding the Third Proportional to 1,297,744.03 and 2,795,170.78

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Solution

The third proportional to 1,297,744.03 and 2,795,170.78 is: 6,020,432.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,744.03 : 2,795,170.78 = 2,795,170.78 : x
  2. Step 2: Convert to fraction form
    1,297,744.03/2,795,170.78 = 2,795,170.78/x
  3. Step 3: Cross multiply
    1,297,744.03x = 2,795,170.78 × 2,795,170.78
  4. Step 4: Simplify right side
    1,297,744.03x = 7,812,979,696,353.74
  5. Step 5: Solve for x
    x = 7,812,979,696,353.74/1,297,744.03
  6. Step 6: Final answer
    x = 6,020,432.00

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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.