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Finding the Third Proportional to 484,586,809 and 1,057,983,314

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Solution

The third proportional to 484,586,809 and 1,057,983,314 is: 2,309,862,076.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,586,809 : 1,057,983,314 = 1,057,983,314 : x
  2. Step 2: Convert to fraction form
    484,586,809/1,057,983,314 = 1,057,983,314/x
  3. Step 3: Cross multiply
    484,586,809x = 1,057,983,314 × 1,057,983,314
  4. Step 4: Simplify right side
    484,586,809x = 1,119,328,692,702,422,656
  5. Step 5: Solve for x
    x = 1,119,328,692,702,422,656/484,586,809
  6. Step 6: Final answer
    x = 2,309,862,076.13

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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.