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Finding the Third Proportional to 484,586,795 and 1,057,983,286

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Solution

The third proportional to 484,586,795 and 1,057,983,286 is: 2,309,862,020.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,586,795 : 1,057,983,286 = 1,057,983,286 : x
  2. Step 2: Convert to fraction form
    484,586,795/1,057,983,286 = 1,057,983,286/x
  3. Step 3: Cross multiply
    484,586,795x = 1,057,983,286 × 1,057,983,286
  4. Step 4: Simplify right side
    484,586,795x = 1,119,328,633,455,357,824
  5. Step 5: Solve for x
    x = 1,119,328,633,455,357,824/484,586,795
  6. Step 6: Final answer
    x = 2,309,862,020.60

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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.