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Finding the Third Proportional to 643,030 and 1,412,960

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Solution

The third proportional to 643,030 and 1,412,960 is: 3,104,763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,030 : 1,412,960 = 1,412,960 : x
  2. Step 2: Convert to fraction form
    643,030/1,412,960 = 1,412,960/x
  3. Step 3: Cross multiply
    643,030x = 1,412,960 × 1,412,960
  4. Step 4: Simplify right side
    643,030x = 1,996,455,961,600
  5. Step 5: Solve for x
    x = 1,996,455,961,600/643,030
  6. Step 6: Final answer
    x = 3,104,763.33

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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.