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Finding the Third Proportional to 811,269 and 1,175,071.50

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Solution

The third proportional to 811,269 and 1,175,071.50 is: 1,702,016.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,269 : 1,175,071.50 = 1,175,071.50 : x
  2. Step 2: Convert to fraction form
    811,269/1,175,071.50 = 1,175,071.50/x
  3. Step 3: Cross multiply
    811,269x = 1,175,071.50 × 1,175,071.50
  4. Step 4: Simplify right side
    811,269x = 1,380,793,030,112.25
  5. Step 5: Solve for x
    x = 1,380,793,030,112.25/811,269
  6. Step 6: Final answer
    x = 1,702,016.26

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.