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Finding the Third Proportional to 815,853 and 1,175,071.50

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Solution

The third proportional to 815,853 and 1,175,071.50 is: 1,692,453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,853 : 1,175,071.50 = 1,175,071.50 : x
  2. Step 2: Convert to fraction form
    815,853/1,175,071.50 = 1,175,071.50/x
  3. Step 3: Cross multiply
    815,853x = 1,175,071.50 × 1,175,071.50
  4. Step 4: Simplify right side
    815,853x = 1,380,793,030,112.25
  5. Step 5: Solve for x
    x = 1,380,793,030,112.25/815,853
  6. Step 6: Final answer
    x = 1,692,453.21

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.