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Finding the Third Proportional to 768,005 and 1,019,109

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Solution

The third proportional to 768,005 and 1,019,109 is: 1,352,313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,005 : 1,019,109 = 1,019,109 : x
  2. Step 2: Convert to fraction form
    768,005/1,019,109 = 1,019,109/x
  3. Step 3: Cross multiply
    768,005x = 1,019,109 × 1,019,109
  4. Step 4: Simplify right side
    768,005x = 1,038,583,153,881
  5. Step 5: Solve for x
    x = 1,038,583,153,881/768,005
  6. Step 6: Final answer
    x = 1,352,313.01

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.