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Finding the Third Proportional to 765,909 and 1,073,283.75

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Solution

The third proportional to 765,909 and 1,073,283.75 is: 1,504,014.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,909 : 1,073,283.75 = 1,073,283.75 : x
  2. Step 2: Convert to fraction form
    765,909/1,073,283.75 = 1,073,283.75/x
  3. Step 3: Cross multiply
    765,909x = 1,073,283.75 × 1,073,283.75
  4. Step 4: Simplify right side
    765,909x = 1,151,938,008,014.06
  5. Step 5: Solve for x
    x = 1,151,938,008,014.06/765,909
  6. Step 6: Final answer
    x = 1,504,014.19

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.