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Finding the Third Proportional to 460,923,998 and 1,013,784,694

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Solution

The third proportional to 460,923,998 and 1,013,784,694 is: 2,229,780,636.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,923,998 : 1,013,784,694 = 1,013,784,694 : x
  2. Step 2: Convert to fraction form
    460,923,998/1,013,784,694 = 1,013,784,694/x
  3. Step 3: Cross multiply
    460,923,998x = 1,013,784,694 × 1,013,784,694
  4. Step 4: Simplify right side
    460,923,998x = 1,027,759,405,788,673,664
  5. Step 5: Solve for x
    x = 1,027,759,405,788,673,664/460,923,998
  6. Step 6: Final answer
    x = 2,229,780,636.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.