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Finding the Third Proportional to 4,129,938 and 5,805,492.75

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Solution

The third proportional to 4,129,938 and 5,805,492.75 is: 8,160,835.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129,938 : 5,805,492.75 = 5,805,492.75 : x
  2. Step 2: Convert to fraction form
    4,129,938/5,805,492.75 = 5,805,492.75/x
  3. Step 3: Cross multiply
    4,129,938x = 5,805,492.75 × 5,805,492.75
  4. Step 4: Simplify right side
    4,129,938x = 33,703,746,070,302.56
  5. Step 5: Solve for x
    x = 33,703,746,070,302.56/4,129,938
  6. Step 6: Final answer
    x = 8,160,835.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.