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Finding the Third Proportional to 680,592 and 1,477,152

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Solution

The third proportional to 680,592 and 1,477,152 is: 3,206,000.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,592 : 1,477,152 = 1,477,152 : x
  2. Step 2: Convert to fraction form
    680,592/1,477,152 = 1,477,152/x
  3. Step 3: Cross multiply
    680,592x = 1,477,152 × 1,477,152
  4. Step 4: Simplify right side
    680,592x = 2,181,978,031,104
  5. Step 5: Solve for x
    x = 2,181,978,031,104/680,592
  6. Step 6: Final answer
    x = 3,206,000.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.