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Finding the Third Proportional to 2,287,668.50 and 4,764,816

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Solution

The third proportional to 2,287,668.50 and 4,764,816 is: 9,924,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287,668.50 : 4,764,816 = 4,764,816 : x
  2. Step 2: Convert to fraction form
    2,287,668.50/4,764,816 = 4,764,816/x
  3. Step 3: Cross multiply
    2,287,668.50x = 4,764,816 × 4,764,816
  4. Step 4: Simplify right side
    2,287,668.50x = 22,703,471,513,856
  5. Step 5: Solve for x
    x = 22,703,471,513,856/2,287,668.50
  6. Step 6: Final answer
    x = 9,924,283.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.