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Finding the Third Proportional to 873,096,240 and 1,309,323,668

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Solution

The third proportional to 873,096,240 and 1,309,323,668 is: 1,963,504,581.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,096,240 : 1,309,323,668 = 1,309,323,668 : x
  2. Step 2: Convert to fraction form
    873,096,240/1,309,323,668 = 1,309,323,668/x
  3. Step 3: Cross multiply
    873,096,240x = 1,309,323,668 × 1,309,323,668
  4. Step 4: Simplify right side
    873,096,240x = 1,714,328,467,584,974,336
  5. Step 5: Solve for x
    x = 1,714,328,467,584,974,336/873,096,240
  6. Step 6: Final answer
    x = 1,963,504,581.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.