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Finding the Third Proportional to 694,592 and 1,041,696

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Solution

The third proportional to 694,592 and 1,041,696 is: 1,562,256.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,592 : 1,041,696 = 1,041,696 : x
  2. Step 2: Convert to fraction form
    694,592/1,041,696 = 1,041,696/x
  3. Step 3: Cross multiply
    694,592x = 1,041,696 × 1,041,696
  4. Step 4: Simplify right side
    694,592x = 1,085,130,556,416
  5. Step 5: Solve for x
    x = 1,085,130,556,416/694,592
  6. Step 6: Final answer
    x = 1,562,256.05

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