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Finding the Third Proportional to 682,051,438 and 1,478,804,546

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Solution

The third proportional to 682,051,438 and 1,478,804,546 is: 3,206,301,993.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,051,438 : 1,478,804,546 = 1,478,804,546 : x
  2. Step 2: Convert to fraction form
    682,051,438/1,478,804,546 = 1,478,804,546/x
  3. Step 3: Cross multiply
    682,051,438x = 1,478,804,546 × 1,478,804,546
  4. Step 4: Simplify right side
    682,051,438x = 2,186,862,885,270,266,112
  5. Step 5: Solve for x
    x = 2,186,862,885,270,266,112/682,051,438
  6. Step 6: Final answer
    x = 3,206,301,993.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.