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Finding the Third Proportional to 591,236 and 1,340,297

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Solution

The third proportional to 591,236 and 1,340,297 is: 3,038,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,236 : 1,340,297 = 1,340,297 : x
  2. Step 2: Convert to fraction form
    591,236/1,340,297 = 1,340,297/x
  3. Step 3: Cross multiply
    591,236x = 1,340,297 × 1,340,297
  4. Step 4: Simplify right side
    591,236x = 1,796,396,048,209
  5. Step 5: Solve for x
    x = 1,796,396,048,209/591,236
  6. Step 6: Final answer
    x = 3,038,373.93

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.