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Finding the Third Proportional to 480,388,945 and 1,048,864,419

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Solution

The third proportional to 480,388,945 and 1,048,864,419 is: 2,290,053,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,388,945 : 1,048,864,419 = 1,048,864,419 : x
  2. Step 2: Convert to fraction form
    480,388,945/1,048,864,419 = 1,048,864,419/x
  3. Step 3: Cross multiply
    480,388,945x = 1,048,864,419 × 1,048,864,419
  4. Step 4: Simplify right side
    480,388,945x = 1,100,116,569,444,207,616
  5. Step 5: Solve for x
    x = 1,100,116,569,444,207,616/480,388,945
  6. Step 6: Final answer
    x = 2,290,053,884.24

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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.