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Finding the Third Proportional to 480,494,656 and 1,049,064,176

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Solution

The third proportional to 480,494,656 and 1,049,064,176 is: 2,290,422,238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,494,656 : 1,049,064,176 = 1,049,064,176 : x
  2. Step 2: Convert to fraction form
    480,494,656/1,049,064,176 = 1,049,064,176/x
  3. Step 3: Cross multiply
    480,494,656x = 1,049,064,176 × 1,049,064,176
  4. Step 4: Simplify right side
    480,494,656x = 1,100,535,645,366,558,976
  5. Step 5: Solve for x
    x = 1,100,535,645,366,558,976/480,494,656
  6. Step 6: Final answer
    x = 2,290,422,238.05

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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.