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Finding the Third Proportional to 683,929 and 1,026,258

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Solution

The third proportional to 683,929 and 1,026,258 is: 1,539,933.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,929 : 1,026,258 = 1,026,258 : x
  2. Step 2: Convert to fraction form
    683,929/1,026,258 = 1,026,258/x
  3. Step 3: Cross multiply
    683,929x = 1,026,258 × 1,026,258
  4. Step 4: Simplify right side
    683,929x = 1,053,205,482,564
  5. Step 5: Solve for x
    x = 1,053,205,482,564/683,929
  6. Step 6: Final answer
    x = 1,539,933.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.