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Finding the Third Proportional to 853,282 and 1,833,193.50

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Solution

The third proportional to 853,282 and 1,833,193.50 is: 3,938,438.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,282 : 1,833,193.50 = 1,833,193.50 : x
  2. Step 2: Convert to fraction form
    853,282/1,833,193.50 = 1,833,193.50/x
  3. Step 3: Cross multiply
    853,282x = 1,833,193.50 × 1,833,193.50
  4. Step 4: Simplify right side
    853,282x = 3,360,598,408,442.25
  5. Step 5: Solve for x
    x = 3,360,598,408,442.25/853,282
  6. Step 6: Final answer
    x = 3,938,438.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.