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Finding the Third Proportional to 959,742 and 1,442,070

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Solution

The third proportional to 959,742 and 1,442,070 is: 2,166,796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,742 : 1,442,070 = 1,442,070 : x
  2. Step 2: Convert to fraction form
    959,742/1,442,070 = 1,442,070/x
  3. Step 3: Cross multiply
    959,742x = 1,442,070 × 1,442,070
  4. Step 4: Simplify right side
    959,742x = 2,079,565,884,900
  5. Step 5: Solve for x
    x = 2,079,565,884,900/959,742
  6. Step 6: Final answer
    x = 2,166,796.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.