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Finding the Third Proportional to 694,542 and 1,043,658

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Solution

The third proportional to 694,542 and 1,043,658 is: 1,568,259.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,542 : 1,043,658 = 1,043,658 : x
  2. Step 2: Convert to fraction form
    694,542/1,043,658 = 1,043,658/x
  3. Step 3: Cross multiply
    694,542x = 1,043,658 × 1,043,658
  4. Step 4: Simplify right side
    694,542x = 1,089,222,020,964
  5. Step 5: Solve for x
    x = 1,089,222,020,964/694,542
  6. Step 6: Final answer
    x = 1,568,259.40

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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.