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Finding the Third Proportional to 653,094 and 1,008,766

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Solution

The third proportional to 653,094 and 1,008,766 is: 1,558,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,094 : 1,008,766 = 1,008,766 : x
  2. Step 2: Convert to fraction form
    653,094/1,008,766 = 1,008,766/x
  3. Step 3: Cross multiply
    653,094x = 1,008,766 × 1,008,766
  4. Step 4: Simplify right side
    653,094x = 1,017,608,842,756
  5. Step 5: Solve for x
    x = 1,017,608,842,756/653,094
  6. Step 6: Final answer
    x = 1,558,135.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.