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Finding the Third Proportional to 1,492,241 and 3,197,394.50

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Solution

The third proportional to 1,492,241 and 3,197,394.50 is: 6,850,992.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492,241 : 3,197,394.50 = 3,197,394.50 : x
  2. Step 2: Convert to fraction form
    1,492,241/3,197,394.50 = 3,197,394.50/x
  3. Step 3: Cross multiply
    1,492,241x = 3,197,394.50 × 3,197,394.50
  4. Step 4: Simplify right side
    1,492,241x = 10,223,331,588,630.25
  5. Step 5: Solve for x
    x = 10,223,331,588,630.25/1,492,241
  6. Step 6: Final answer
    x = 6,850,992.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.