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Finding the Third Proportional to 480,494,628 and 1,049,064,102

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Solution

The third proportional to 480,494,628 and 1,049,064,102 is: 2,290,422,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,494,628 : 1,049,064,102 = 1,049,064,102 : x
  2. Step 2: Convert to fraction form
    480,494,628/1,049,064,102 = 1,049,064,102/x
  3. Step 3: Cross multiply
    480,494,628x = 1,049,064,102 × 1,049,064,102
  4. Step 4: Simplify right side
    480,494,628x = 1,100,535,490,105,066,368
  5. Step 5: Solve for x
    x = 1,100,535,490,105,066,368/480,494,628
  6. Step 6: Final answer
    x = 2,290,422,048.39

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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.