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Finding the Third Proportional to 652,455 and 982,692

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Solution

The third proportional to 652,455 and 982,692 is: 1,480,076.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,455 : 982,692 = 982,692 : x
  2. Step 2: Convert to fraction form
    652,455/982,692 = 982,692/x
  3. Step 3: Cross multiply
    652,455x = 982,692 × 982,692
  4. Step 4: Simplify right side
    652,455x = 965,683,566,864
  5. Step 5: Solve for x
    x = 965,683,566,864/652,455
  6. Step 6: Final answer
    x = 1,480,076.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.