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Finding the Third Proportional to 643,044 and 1,412,202

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Solution

The third proportional to 643,044 and 1,412,202 is: 3,101,365.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,044 : 1,412,202 = 1,412,202 : x
  2. Step 2: Convert to fraction form
    643,044/1,412,202 = 1,412,202/x
  3. Step 3: Cross multiply
    643,044x = 1,412,202 × 1,412,202
  4. Step 4: Simplify right side
    643,044x = 1,994,314,488,804
  5. Step 5: Solve for x
    x = 1,994,314,488,804/643,044
  6. Step 6: Final answer
    x = 3,101,365.52

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