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Finding the Third Proportional to 430,120,469 and 926,424,216

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Solution

The third proportional to 430,120,469 and 926,424,216 is: 1,995,398,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,120,469 : 926,424,216 = 926,424,216 : x
  2. Step 2: Convert to fraction form
    430,120,469/926,424,216 = 926,424,216/x
  3. Step 3: Cross multiply
    430,120,469x = 926,424,216 × 926,424,216
  4. Step 4: Simplify right side
    430,120,469x = 858,261,827,991,214,592
  5. Step 5: Solve for x
    x = 858,261,827,991,214,592/430,120,469
  6. Step 6: Final answer
    x = 1,995,398,707.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.