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Finding the Third Proportional to 652,383 and 1,349,532

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Solution

The third proportional to 652,383 and 1,349,532 is: 2,791,667.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,383 : 1,349,532 = 1,349,532 : x
  2. Step 2: Convert to fraction form
    652,383/1,349,532 = 1,349,532/x
  3. Step 3: Cross multiply
    652,383x = 1,349,532 × 1,349,532
  4. Step 4: Simplify right side
    652,383x = 1,821,236,619,024
  5. Step 5: Solve for x
    x = 1,821,236,619,024/652,383
  6. Step 6: Final answer
    x = 2,791,667.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.