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Finding the Third Proportional to 913,248 and 1,953,234

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Solution

The third proportional to 913,248 and 1,953,234 is: 4,177,532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,248 : 1,953,234 = 1,953,234 : x
  2. Step 2: Convert to fraction form
    913,248/1,953,234 = 1,953,234/x
  3. Step 3: Cross multiply
    913,248x = 1,953,234 × 1,953,234
  4. Step 4: Simplify right side
    913,248x = 3,815,123,058,756
  5. Step 5: Solve for x
    x = 3,815,123,058,756/913,248
  6. Step 6: Final answer
    x = 4,177,532.34

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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.