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Finding the Third Proportional to 956,817 and 1,300,009

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Solution

The third proportional to 956,817 and 1,300,009 is: 1,766,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    956,817 : 1,300,009 = 1,300,009 : x
  2. Step 2: Convert to fraction form
    956,817/1,300,009 = 1,300,009/x
  3. Step 3: Cross multiply
    956,817x = 1,300,009 × 1,300,009
  4. Step 4: Simplify right side
    956,817x = 1,690,023,400,081
  5. Step 5: Solve for x
    x = 1,690,023,400,081/956,817
  6. Step 6: Final answer
    x = 1,766,297.42

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.