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Finding the Third Proportional to 480,494,608 and 1,049,064,078

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Solution

The third proportional to 480,494,608 and 1,049,064,078 is: 2,290,422,038.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,494,608 : 1,049,064,078 = 1,049,064,078 : x
  2. Step 2: Convert to fraction form
    480,494,608/1,049,064,078 = 1,049,064,078/x
  3. Step 3: Cross multiply
    480,494,608x = 1,049,064,078 × 1,049,064,078
  4. Step 4: Simplify right side
    480,494,608x = 1,100,535,439,749,990,144
  5. Step 5: Solve for x
    x = 1,100,535,439,749,990,144/480,494,608
  6. Step 6: Final answer
    x = 2,290,422,038.93

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