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Finding the Third Proportional to 729,654,198 and 1,605,237,804

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Solution

The third proportional to 729,654,198 and 1,605,237,804 is: 3,531,520,019.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,654,198 : 1,605,237,804 = 1,605,237,804 : x
  2. Step 2: Convert to fraction form
    729,654,198/1,605,237,804 = 1,605,237,804/x
  3. Step 3: Cross multiply
    729,654,198x = 1,605,237,804 × 1,605,237,804
  4. Step 4: Simplify right side
    729,654,198x = 2,576,788,407,390,742,528
  5. Step 5: Solve for x
    x = 2,576,788,407,390,742,528/729,654,198
  6. Step 6: Final answer
    x = 3,531,520,019.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.