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Finding the Third Proportional to 430,658,760 and 944,693,984

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Solution

The third proportional to 430,658,760 and 944,693,984 is: 2,072,282,759.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,658,760 : 944,693,984 = 944,693,984 : x
  2. Step 2: Convert to fraction form
    430,658,760/944,693,984 = 944,693,984/x
  3. Step 3: Cross multiply
    430,658,760x = 944,693,984 × 944,693,984
  4. Step 4: Simplify right side
    430,658,760x = 892,446,723,405,792,256
  5. Step 5: Solve for x
    x = 892,446,723,405,792,256/430,658,760
  6. Step 6: Final answer
    x = 2,072,282,759.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.