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Finding the Third Proportional to 619,949 and 1,314,297

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Solution

The third proportional to 619,949 and 1,314,297 is: 2,786,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,949 : 1,314,297 = 1,314,297 : x
  2. Step 2: Convert to fraction form
    619,949/1,314,297 = 1,314,297/x
  3. Step 3: Cross multiply
    619,949x = 1,314,297 × 1,314,297
  4. Step 4: Simplify right side
    619,949x = 1,727,376,604,209
  5. Step 5: Solve for x
    x = 1,727,376,604,209/619,949
  6. Step 6: Final answer
    x = 2,786,320.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.