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Finding the Third Proportional to 480,494,684 and 1,049,064,232

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Solution

The third proportional to 480,494,684 and 1,049,064,232 is: 2,290,422,349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,494,684 : 1,049,064,232 = 1,049,064,232 : x
  2. Step 2: Convert to fraction form
    480,494,684/1,049,064,232 = 1,049,064,232/x
  3. Step 3: Cross multiply
    480,494,684x = 1,049,064,232 × 1,049,064,232
  4. Step 4: Simplify right side
    480,494,684x = 1,100,535,762,861,749,760
  5. Step 5: Solve for x
    x = 1,100,535,762,861,749,760/480,494,684
  6. Step 6: Final answer
    x = 2,290,422,349.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.