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Finding the Third Proportional to 1,106,323.31 and 1,708,619.06

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Solution

The third proportional to 1,106,323.31 and 1,708,619.06 is: 2,638,811.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,323.31 : 1,708,619.06 = 1,708,619.06 : x
  2. Step 2: Convert to fraction form
    1,106,323.31/1,708,619.06 = 1,708,619.06/x
  3. Step 3: Cross multiply
    1,106,323.31x = 1,708,619.06 × 1,708,619.06
  4. Step 4: Simplify right side
    1,106,323.31x = 2,919,379,100,738.38
  5. Step 5: Solve for x
    x = 2,919,379,100,738.38/1,106,323.31
  6. Step 6: Final answer
    x = 2,638,811.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.