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Finding the Third Proportional to 1,106,323.50 and 1,708,617

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Solution

The third proportional to 1,106,323.50 and 1,708,617 is: 2,638,805.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,323.50 : 1,708,617 = 1,708,617 : x
  2. Step 2: Convert to fraction form
    1,106,323.50/1,708,617 = 1,708,617/x
  3. Step 3: Cross multiply
    1,106,323.50x = 1,708,617 × 1,708,617
  4. Step 4: Simplify right side
    1,106,323.50x = 2,919,372,052,689
  5. Step 5: Solve for x
    x = 2,919,372,052,689/1,106,323.50
  6. Step 6: Final answer
    x = 2,638,805.06

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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.