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Finding the Third Proportional to 694,490 and 1,043,586

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Solution

The third proportional to 694,490 and 1,043,586 is: 1,568,160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,490 : 1,043,586 = 1,043,586 : x
  2. Step 2: Convert to fraction form
    694,490/1,043,586 = 1,043,586/x
  3. Step 3: Cross multiply
    694,490x = 1,043,586 × 1,043,586
  4. Step 4: Simplify right side
    694,490x = 1,089,071,739,396
  5. Step 5: Solve for x
    x = 1,089,071,739,396/694,490
  6. Step 6: Final answer
    x = 1,568,160.43

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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.