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Finding the Third Proportional to 762,424 and 1,121,460

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Solution

The third proportional to 762,424 and 1,121,460 is: 1,649,571.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,424 : 1,121,460 = 1,121,460 : x
  2. Step 2: Convert to fraction form
    762,424/1,121,460 = 1,121,460/x
  3. Step 3: Cross multiply
    762,424x = 1,121,460 × 1,121,460
  4. Step 4: Simplify right side
    762,424x = 1,257,672,531,600
  5. Step 5: Solve for x
    x = 1,257,672,531,600/762,424
  6. Step 6: Final answer
    x = 1,649,571.02

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.