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Finding the Third Proportional to 663,314.06 and 1,052,022.94

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Solution

The third proportional to 663,314.06 and 1,052,022.94 is: 1,668,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,314.06 : 1,052,022.94 = 1,052,022.94 : x
  2. Step 2: Convert to fraction form
    663,314.06/1,052,022.94 = 1,052,022.94/x
  3. Step 3: Cross multiply
    663,314.06x = 1,052,022.94 × 1,052,022.94
  4. Step 4: Simplify right side
    663,314.06x = 1,106,752,261,026.13
  5. Step 5: Solve for x
    x = 1,106,752,261,026.13/663,314.06
  6. Step 6: Final answer
    x = 1,668,519.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.