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Finding the Third Proportional to 1,160,016 and 1,633,584

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Solution

The third proportional to 1,160,016 and 1,633,584 is: 2,300,482.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160,016 : 1,633,584 = 1,633,584 : x
  2. Step 2: Convert to fraction form
    1,160,016/1,633,584 = 1,633,584/x
  3. Step 3: Cross multiply
    1,160,016x = 1,633,584 × 1,633,584
  4. Step 4: Simplify right side
    1,160,016x = 2,668,596,685,056
  5. Step 5: Solve for x
    x = 2,668,596,685,056/1,160,016
  6. Step 6: Final answer
    x = 2,300,482.65

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.