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Finding the Third Proportional to 1,105,782 and 1,668,817.50

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Solution

The third proportional to 1,105,782 and 1,668,817.50 is: 2,518,536.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,782 : 1,668,817.50 = 1,668,817.50 : x
  2. Step 2: Convert to fraction form
    1,105,782/1,668,817.50 = 1,668,817.50/x
  3. Step 3: Cross multiply
    1,105,782x = 1,668,817.50 × 1,668,817.50
  4. Step 4: Simplify right side
    1,105,782x = 2,784,951,848,306.25
  5. Step 5: Solve for x
    x = 2,784,951,848,306.25/1,105,782
  6. Step 6: Final answer
    x = 2,518,536.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.